Answer:
La presión que ejerce es 42 atm.
Explanation:
La ley de Boyle relaciona la presión y el volumen y dice que el volumen ocupado por una determinada masa gaseosa a temperatura constante, es inversamente proporcional a la presión.
La ley de Boyle se expresa matemáticamente como:
P*V=k
Ahora es posible suponer que tienes un cierto volumen de gas V1 que se encuentra a una presión P1 al comienzo del experimento. Si varias el volumen de gas hasta un nuevo valor V2, entonces la presión cambiará a P2, y se cumplirá:
P1*V1= P2*V2
En este caso:
P1= 3 atmV1= 7 LP2= ?V2= 0.5 LReemplazando:
3 atm* 7 L= P2* 0.5 L
Resolviendo:
\(P2=\frac{3 atm*7 L}{0.5 L}\)
P2= 42 atm
La presión que ejerce es 42 atm.
Answer:10.5
Explanation:
3atm x 7L / 0,5L = 10.5
Quando bajamos el volmen sube la presion y cuando bajamos la presion sube el volumen
if the net effect of all graded potentials is hyperpolarization, what will occur?
If the net effect of all graded potentials is hyperpolarization, the membrane potential will become more negative.
Graded potentials are small changes in membrane potential caused by the flow of ions across the membrane. They can be either depolarizing or hyperpolarizing, depending on the type of ion and direction of flow. If the net effect of all graded potentials is hyperpolarization, this means that the majority of the graded potentials were hyperpolarizing and caused the membrane potential to become more negative.
This could happen, for example, if inhibitory signals were received by a neuron, causing it to become more resistant to firing. Hyperpolarization makes it harder for the neuron to reach its threshold for action potential firing, so if the net effect is hyperpolarization, the neuron will be less likely to fire.
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Describe yourself based on food
Which chemist received both the Nobel Prize in Physics and in Chemistry for work in understanding radioactivity and the discovery of polonium? Question 17 options: A) Ernest Rutherford B) Pierre Curie C) Henri Becquerel D) Marie Curie
Answer:
Marie Curie
Explanation:
Physics in 1903
Chemistry in 1911
Wow
https://www.nobelprize.org/prizes/physics/1903/marie-curie/biographical/
Answer:
Marie Curie was a physicist and chemist who was awarded the Nobel Prize for work in understanding radioactivity and the discovery of polonium.n:
Given the following densities: The density of corn syrup is ~1. 4 g/mL, water is ~1. 0 g/mL, and mineral oil is ~0. 8 g/mL. The density of a marble is ~3. 5 g/mL, a rubber stopper is ~1. 2 g/mL, ice is ~0. 92 g/mL, and a cork is ~0. 2 g/mL. Identify L1 , L2 , S1 , S2 , S3 , and S4 in the tall glass cylinder. IM SO LOST?!
In the tall glass cylinder, L1 is the layer of corn syrup, L2 is the layer of water, S1 is the cork, S2 is the mineral oil, S3 is the ice, and S4 is the rubber stopper.
L1 is the layer with the highest density, L2 is the layer with the second highest density, S1 is the substance with the lowest density, S2 is the substance with the second lowest density, S3 is the substance with the third lowest density, and S4 is the substance with the fourth lowest density.
Based on the given densities, we can assign the following values:
L1: corn syrup (density ~1.4 g/mL)
L2: water (density ~1.0 g/mL)
S1: cork (density ~0.2 g/mL)
S2: mineral oil (density ~0.8 g/mL)
S3: ice (density ~0.92 g/mL)
S4: rubber stopper (density ~1.2 g/mL)
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Circle the significant figures in the following 55.0
Answer and Explanation
There are 2 significant figures.
name each of the following carboxylic acids and esters. part a h3cch2ch2coch2ch3, with an o atom double-bonded to the fourth (from left to right) carbon atom. spell out the full name of the compound.
Answer:
The carboxylic acid in this case is ethyl 4-oxo butanoate.
The ester in this case is methyl 4-oxo butanoate.
Please answer the following question using the data below: H2O vapor content: 13 grams H2O vapor capacity: 52 grams at 25 degrees Celsius 13 grams at 10 ∘
C 52 grams at 30 ∘
C What is the dew point for the conditions listed above? LCL 3π5 25C Relative Humidity =100%
Given data:H2O vapor content: 13 gramsH2O vapor capacity: 52 grams at 25 degrees Celsius 13 grams at 10∘C52 grams at 30∘CFormula used to find the dew point:$$\dfrac{13}{52}=\dfrac{(A*3\pi)/(ln100)}{(17.27-A)}$$$$\frac{1}{4}=\dfrac{(A*3\pi)/(ln100)}{(17.27-A)}$$
Where A is the constantDew Point:It is the temperature at which air becomes saturated with water vapor when the temperature drops to a point where dew, frost or ice forms. To solve this question, substitute the given data into the formula.$$13/52=\dfrac{(A*3\pi)/(ln100)}{(17.27-A)}$$$$13(17.27-A)=3\pi A(ln100)$$By simplifying the above expression, we get$$A^2-17.27A+64.78=0$$Using the quadratic formula, we get$$A=9.9,7.4$$
The dew point is 7.4 since it is less than 10°C.More than 100:The term "More than 100" has not been used in the question provided.
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which of the following generates the most ions per mole of solute when dissolved in dilute aqueous solution? group of answer choices a. nahso4 b. mgcl2 c. nacl d. c2h5oh e. caso4
MgCl₂ generates the most ions per mole of solute when dissolved in dilute aqueous solution because MgCl₂ dissolves completely in aqueous solution and Molarity of MgCl₂ is higher than all given ionic compounds nahso4, nacl, c2h5oh and caso4.
The equation for the dissociation of MgCl₂ in an aqueous solution is:
MgCl₂→Mg²⁺ + 2Cl⁻
Based on the equation for the reaction, for every mole of magnesium ions present in the solution, there are two moles of chloride ions. This is the case because in order to balance the charges to form the compound, the total anionic and cationic charges should be equal.
What is Molarity ?
Molarity is a concentration in terms of moles per litre of solution. Because an ionic compound dissociates into its components cations and anions in solution, the key to the problem is identifying how many moles of ions are produced during dissolution.
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3)What helps the plants to receive sunlight in tropical rainforests?
Answer:
Large leaves help plants to receive more sunlight when in tropical rainforests.
How do you find the number of grams in 1.204 moles of \(NH3\)?
Answer:
\(\boxed {\boxed {\sf 20.51 \ g \ NH_3}}\)
Explanation:
If we want to convert from moles to grams, we must use the molar mass. This values tells us the mass of 1 mole of a substance. They can be found on the Periodic Table; they are equivalent to the atomic masses, but the units are grams per mole (g/mol) instead of atomic mass units (amu).
1. Molar MassWe have the compound ammonia or NH₃. Look up the molar masses for the individual elements.
Nitrogen (N): 14.007 g/mol Hydrogen (H): 1.008 g/molCheck for subscripts. There is a subscript of 3 after hydrogen. This means there are 3 atoms of hydrogen in 1 molecule of ammonia. We should multiply hydrogen's molar mass by 3.
H₃= 1.008 * 3=3.024 g/molAdd nitrogen's molar mass.
NH₃: 14.007 + 3.024=17.031 g/mol2. Convert Moles to GramsNow, use the molar mass as a ratio.
\(\frac {17.031 \ g \ NH_3}{1 \ mol \ NH_3}\)
Since we are trying to find the mass of 1.204 moles, we multiply by that value.
\(1.204 \ mol \ NH_3 *\frac {17.031 \ g \ NH_3}{1 \ mol \ NH_3}\)
The units of "moles of ammonia" cancel.
\(1.204 *\frac {17.031 \ g \ NH_3}{1}\)
The denominator of 1 can be ignored.
\(1.204 * 17.031 \ g \ NH_3\)
\(20.505324 \ g \ NH_3\)
3. RoundThe original measurement of moles has 4 significant figures, so our answer must have the same. For the number we calculated, that is the hundredth place.
20.505324The 5 in the thousandth place tells us to round to 0 to a 1 in the hundredth place.
\(20.51 \ g \ NH_3\)
1.204 moles of ammonia is equal to 20.51 grams of ammonia.
In dimensional analysis you should always have the same units adjacent to each other (top left to bottom right)
O True
O False
Answer:
False
Explanation:
what is the rate for the first order reaction a → products when [a] = 0.201 m? (k = 0.360 1/min)
The rate for the first-order reaction can be calculated using the rate equation Rate = k[A], where [A] represents the concentration of reactant A. By substituting the given values, such as the rate constant and the reactant concentration, into the equation, the rate is determined as 0.0726 1/min*m.
To determine the rate of a first-order reaction, we can use the following rate equation:
Rate = k[A]
Where Rate represents the rate of the reaction, k is the rate constant, and [A] is the concentration of reactant A.
In this case, the rate equation can be written as:
Rate = k[0.201]
Given that k = 0.360 1/min and [A] = 0.201 m, we can substitute these values into the equation:
Rate = 0.360 1/min * 0.201 m
Calculating the product:
Rate = 0.0726 1/min*m
Therefore, the rate for the first-order reaction A → products, when [A] = 0.201 m, is 0.0726 1/min*m.
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HELP FAST PLS, ALL NEEDED. || Marianne designs an experiment involving electrically charged objects. She wants to know which objects will be attracted to a negatively charged balloon. Identify the test variable, the outcome variable, and the control variable for this experiment.
In the designed experiment, the test variable is object and outcome variable is the attraction and control variable is balloon.
What are variables?Variables are defined as any characteristics, number or quantity which can be measured . It can also be called as a data item . It is called as variable because they can vary and can have variety of values.
There are three types of variables 1) manipulated variable where in a condition is specified, 2) responding variable which is dependent on manipulated variable 3)controlled variable which do not change
Example of manipulated variables are number of hours spent by a student studying , that of responding variable is result of a student and temperature is an example of controlled variable.
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Lithium has an atomic number of 3 and an average atomic mass of 6.941. how many protons does lithium have in the nucleus? 3 3 4 4 6 6 10
Lithium has 3 protons in the nucleus.
Atomic number is the number of protons or the number of electrons in the nucleus of a neutral atom.Mass number is the sum of the protons as well as the neutrons in the nucleus of an atom. ( sum of neutrons and protons = nucleons)Atomic number =number of protons =number of electrons
According to the question,
we have been given atomic number= 3
So, number of protons will be 3 and number of electrons will also be 3.
We can additionally calculate number of neutrons as follows-
number of neutrons= mass number - number of protons
= 6.941 - 3
≈ 4
Hence, the number of protons in lithium will be 3.
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The nucleus of Lithium has three protons.
The number of protons or electrons in the nucleus of a neutral atom is known as its Atomic number.
The total mass of an atom's protons and neutrons is known as its mass number. (neutrons and protons added together Equals nucleons)
Atomic mass= Mass number + Neutrons
Atomic number equals the sum of the protons and electrons
Since, atomic number given is 3
Therefore, protons in the nucleus will be 3.
Additionally, we may determine the neutron number using the formula below.
mass number = number of neutrons + number of protons
⇒ 6.941 = number of neutrons + 3
⇒ number of neutrons will be approximately 4.
Thus, lithium will contain three protons.
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Can someone help me thx asap
Answer:
solvent
Explanation:
the solvent is usually a liquid substance
a mixture of hydrocarbons contains 34.3% heptane, c7h16, 12.9% nonane, c9h20, and 52.8% octane, c8h18. the mixture is combusted in an excess of oxygen. what mass of co2 is generated from the combustion of 13.0 kg of the mixture?
The mass of carbon dioxide formed on burning of Octane, heptane and decane is 39.6044 Kg
The total mass of the mixture is 13 kg.
Percentage of heptane, decane and octane, in the mixture is 34.3%, 12.9% and 52.8%.
So,
Mass of heptane in the mixture is,
Mass of heptane = 13 × 34.3%
Mass of heptane = 4459 g.
Molar mass of heptane = 100 grams/mol
Moles of heptane = 44.59 moles.
We know, one mole of heptane produces 7 moles CO₂.
so, 44.59 moles of heptane will produce 312.13 moles of CO₂
Mass of nonane in the mixture is,
Mass of nonane = 13 × 12.9%
Mass of nonane = 1677 g.
Molar mass of nonane = 142 grams/mol
Moles of nonane = 11.81 moles.
We know, one mole of nonane produces 9 moles CO₂.
So, 11.81 moles. will produces 106.29 moles of CO₂.
Mass of octane in the mixture is,
Mass of octane = 13 × 52.8%
Mass of octane = 6864 g
Molar mass of octane = 114 grams/mol
Moles of octane = 60.21 moles.
We know, one mole of octane produces 8 moles CO₂.
So, 60.21 moles of octane will produce 481.68 moles.
So, the total moles of CO₂ produced are 312.13 + 106.29 + 481.68 moles.
The total moles of CO₂ produced are 900.1 moles.
We know,
Mole = formed mass/Molar mass
So,
Moles of CO₂ = 900.1 moles.
Molar mass of CO = 44g/mol
Formed mass of CO₂ = 900.1 moles. x 44 g/mol
Formed mass of CO₂ is 39604.4 grams.
Hence a total of 39.6044 Kg of CO₂ is formed.
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Which of the following contains salt water?
Lake
Ocean
River
Glacier
Answer:
Ocean
Explanation:
The maximum salinity is about 35 parts per mille. Among other terms, around 3.5 per cent of seawater weight is produced from salts dissolved.
So a lot of salt water in oceans
Hope this helps.
Answer:
b)
Explanation:
ocean is a containing salt water
Why do ionic compounds make good conductors when dissolved in water?
A. The ions are free to move in water and carry an electric charge.
B. They carry more electrons than protons, giving the water a net
negative charge.
C. They carry more protons than electrons, giving the water a net
positive charge.
D. The ions bind with the water molecules, giving the molecules a net
charge.
How could you explain why soap is able to clean the oil and dirt off our bodies?
Answer:
When you wash your hands with soap, it dislodges the dirt, grease, oils, and disease-ridden fecal matter particles on your hands by creating these micelles. Surrounded by the soap, the oil molecules become suspended and distributed in the water rather than stubbornly clinging to your skin.
Answer:
Soap has two different types of molecules, a non-polar and a polar. The non-polar molecules attract the fats while the polar molecules make the soap, fats, and dirt dissolve in water.
Explanation:
Two different samples of matter are measured in each of these glass containers. Both of the containers show the same measure for both samples of matter. The samples most likely have which of these in common?.
Two different samples of the matter are measured in each of these glass containers. Both of the containers show same measure for both samples of matter. The samples most likely have in common is their volume.
What is volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in the three dimensions is referred to as its volume. It is sometimes referred to as object's capacity.
Volume is a measurement of the three-dimensional space that is occupied.
Numerous imperial units or the SI-derived units, such as the cubic meter and liter, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have symbiotic relationship. The volume of container is typically thought of as its capacity, not as the amount of space it takes up. In other words, volume is the amount of fluid (liquid or gas) that the container may hold.
Volume was initially measured using naturally occurring containers of a similar shape and later with the standardized containers. Arithmetic formulas can be used to quickly calculate volume of some straightforward three-dimensional shapes. If a formula for shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. No object in dimensions of zero, one, or two has volume; in the dimensions of four and higher, the hypervolume is a concept similar to the normal volume.
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1.
Explain what changes occur in particle motion, temperature,
and state of a pure substance when thermal energy is added
or removed.
Type your answer here
Answer:
Thermal energy is heat energy.
When it is removed, the temperature of particle decreases due to decrease in the internal energy involving that particle.
Motion of the particle decreases due to decrease in kinetic energy caused by reduction in the internal energy.
The state of the particle changes from that current state e.g liquid or gas to a solid state due to increase in the latent heat of vapourisation.
With thermodynamics we can find that by giving energy to a substance the temperature increases and after a certain value it can change from solid to liquid and vapor state
In the opposite case, as the energy of a substance decreases, the temperature decreases and goes from a gaseous state to a liquid and a solid.
Thermodynamics study the changes that substances have as their energy changes, finding macroscopic relationships such as temperature, state, pressure and volume.
The temperature of a substance is a measure of the internal energy of the particles and the thermodynamic state of a substance can be solid, liquid or gaseous depending on whether the shape and volume is maintained.
Let's analyze what happens when we increase the energy of a substance.
In this case, the particles that form has more energy, so the temperature of the substance increases, if the energy is enough to break any bonds, the substance can go from the solid state to the liquid and by continuing to increase the energy it can be break all the bonds going from the liquid to the gaseous state.
In the opposite case, when the energy of the particles decreases, it has smaller movements, therefore its temperature decreases and if some bonds are formed, the substance stops from the gaseous state to the liquid state and if the energy continues to decrease, more bonds are formed passing the liquid state to solid.
In conclusion, with the change in energy, the temperature changes in the same direction and after a certain value it can go from solid to liquid and as the temperature increases more it can go from liquid to gas.
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Provide a brief description of how the respiratory system works
Answer:
The lungs and respiratory system allow oxygen in the air to be taken into the body, while also letting the body get rid of carbon dioxide in the air breathed out. When you breathe in, the diaphragm moves downward toward the abdomen, and the rib muscles pull the ribs upward and outward.
Explanation:
Which of the following statements on HPLC modes is true? A. Increasing the polarity of the mobile phase decreases the elution time of polar compounds in normal-phase HPLC B. A non-polar stationary phase is used in normal-phase HPLC C. Compounds have a lower attraction to the mobile phase than to the stationary phase in displacement development D. A polar stationary phase is used in reversed-phase HPLC E. More polar compounds elute first in normal-phase HPLC
The following statements on HPLC modes are true is more polar compounds elute first in normal-phase HPLC (Option E).
The liquid chromatography (HPLC) is a technique in analytical chemistry employed for the separation, identification, and quantification of elements. It is considered a highly sensitive method, and it works by separating the components in a mixture with the assistance of a solvent under high pressure.
There are two modes of HPLC: Reversed-Phase HPLC (RP-HPLC) and Normal-Phase HPLC (NP-HPLC). In RP-HPLC, a nonpolar stationary phase, such as C18, is used, and polar solvents, such as water, are used as mobile phases. Polar stationary phases, such as silica gel, are used in NP-HPLC, while nonpolar solvents, such as hexane, are used as mobile phases.
More polar compounds have a greater affinity for the polar stationary phase than less polar compounds, which have a higher affinity for the nonpolar mobile phase in NP-HPLC. As a result, less polar compounds elute first in normal-phase HPLC.
Thus, the correct option is E.
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There are 100 numbers on a meter sticks, so each number represents...
A. 1 meter
B. 1 centimeter
C. 1 millimeter
D. 1 decimeter
Answer:
A) 1 meters
Explanation:
i hope that's right
do substances that heat up quickly normally have high or low specific heat capacities?
Substances that heat up quickly normally have low specific heat capacities.
Specific heat capacityThe specific heat capacity of a substance is the amount of energy required to raise the temperature of a given mass of the substance by one degree Celsius.
It is usually measured in joules per kilogram per degree Celsius (J/kgK).it is an important physical property of a material, as it determines the amount of energy required to change its temperature.
It is also useful for calculating the amount of energy required to heat or cool a given mass of the material. The specific heat capacity of a substance is related to its molecular structure and composition, as well as its phase.
For example, the specific heat capacity of liquids is generally higher than that of solids, and the specific heat capacity of gases is higher than that of liquids.
Additionally, the specific heat capacity of a substance can vary with temperature, pressure, and other environmental factors.
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Which number on the periodic table of element i the ame a the number of protron and electron of the atom
The atomic number of gold is 79. The correct response for an atom on the periodic table with the same number of protons and electrons is gold, which has 79 protons and 79 electrons.
What is protron?Every atom has a proton in its nucleus, a subatomic particle. The particle has a positive electrical charge that is the antithesis of the electron's. If a proton were isolated, it would weigh only 1.673? 10-27 kilogrammes, little less than a neutron. A stable subatomic particle known as a proton with an electric charge of +1 e and the symbols p, H+, or 1H+. Its mass is only marginally less than that of a neutron and 1836 times greater than that of an electron.
What does a proton or neutron look like?Silicon has 14 protons and 14 neutrons, for instance. It weighs 28 kilogrammes and has an atomic number of 14. Uranium's most prevalent isotope contains 146 neutrons and 92 protons. It has an atomic mass of 238 thanks to its 92 protons and 146 electrons.
Briefing:The atomic number refers to the total number of protons in the nucleus of an atom. The atomic numbers of the elements are used by the Periodic Table to divide them into groupings.
The Periodic Table is used to find an element's atomic number. The atomic number is visible in the top left corner.
For instance, krypton has an atomic number of 36. This reveals that the nucleus of a krypton atom contains 36 protons.
Atoms are not electrically charged by nature. The protons' positive charges and the electrons' negative charges must be equal.
Protons and electrons must be present in an equal number in an atom. In our example, an atom of krypton needs to have 36 protons in addition to 36 electrons.
For any component:
Atomic number = number of protons + number of electrons
Hence, as an illustration of glod:
The atomic number of gold is 79. Gold therefore contains 79 protons and 79 electrons.
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number,423.65 x 10^3 is written incorrectly. Correct the number to proper form andexplain why what you wrote is the correct way.
The given number is written incorrectly because in the integer part of the number there should be a number between 1 and 10, here it is 423, which is not in this interval.
To write it properly, put the decimal dot two place to the left and add 2 to the power of 10. This way:
\(4.2365\times10^5\)(a) Barium ions are poisonous. Patients with digestive tract problems are sometimes given
an X-ray after they have swallowed a ‘barium meal’, consisting of a suspension of
BaSO4 in water. The [Ba2+(aq)] in a saturated solution of BaSO4 is too low to cause
problems of toxicity.
(i) Write an expression for the solubility product, Ksp, for BaSO4, including its units.
...................................................................................................................................
(ii) The numerical value of Ksp is 1.30 × 10–10. Calculate [Ba2+(aq)] in a saturated
solution of BaSO4.
...................................................................................................................................
...................................................................................................................................
(iii) The numerical value of Ksp for BaCO3 (5 × 10–10) is not significantly higher than
that for BaSO4, but barium carbonate is very poisonous if ingested. Suggest a
reason why this might be so.
...................................................................................................................................
............................................................................
QUESTION NUMBER (b)(iii) and (ii) PLEASE....
The numerical value of the Ksp of \(BaSO_{4}\) is 1.69 * 10^-20.
What is the Ksp?The Ksp is an equilibrium constant that shows the extent to which a substance is soluble in water. Now consider the fact that \(BaSO_{4}\) is almost insoluble in water.
i) The Ksp of the \(BaSO_{4}\) solution can be obtained from the relation;
Ksp = [\(Ba^{2+}\)] [\(SO_{4}^{2-}\)]
ii) The numerical value of the Ksp is obtained from; [1.30 × 10–10]^2 = 1.69 * 10^-20
iii) The reason for the toxicity of \(BaCO_{3}\) even though it is not more soluble that barium sulfate is that \(BaCO_{3}\) can dissolve in the gastrointestinal tract which is acidic leading to barium poisoning.
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A calorimeter absorbs 2,508 J of energy from the snack shown in the data below. How much energy does the snack provide per
gram (J/g) according to the experiment?
The energy provided by the snack is obtained as 1254 J/g.
What is the energy of the snack?The calorimeter is used to measure the energy content of food. The food is burnt in the calorimeter in order to determine the amount of energy that it contains. The mass of the food burnt is converted to energy.
Mass of food burnt = 3.52 g - 1.52 g = 2 g
The energy that is provided by the snack in J/g = 2,508 J/ 2 g
= 1254 J/g
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Type of Reaction Balance _______________________ ____ NH4NO2 ____ N2 + ____ H2O _______________________ ____ Fe3O4 + ____ Al ____ Al2O3 + ____ Fe _______________________ ____ C10H20 + ____ O2 ____ CO2 + ____ H2O _______________________ ____ H3PO4 + ____ Mg(OH)2 ____ Mg3(PO4)2 + ____ H2O _______________________ ____ Na + ____ O2 ____ Na2O
The rules of conservation of mass and ensuring that the number of atoms is the same for each element on both sides, we arrive at the balanced equations shown above for each reaction.
Balanced equations for the given reactions are as follows:
NH4NO2 → N2 + 2 H2O
Fe3O4 + 8 Al → 4 Al2O3 + 3 Fe
C10H20 + 13 O2 → 10 CO2 + 10 H2O
2 H3PO4 + 3 Mg(OH)2 → Mg3(PO4)2 + 6 H2O
4 Na + O2 → 2 Na2O
To balance these equations, you need to ensure that the number of atoms of each element is the same on both sides of the equation. Coefficients are placed in front of the reactants and products to achieve this balance. It's important to note that subscripts within the chemical formulas should not be changed to balance the equations.
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