# What is Ideal gas laws: Definition and 19 Discussions

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stated by Benoît Paul Émile Clapeyron in 1834 as a combination of the empirical Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law. The ideal gas law is often written in an empirical form:

P
V
=
n
R
T

{\displaystyle PV=nRT}
where

P

{\displaystyle P}
,

V

{\displaystyle V}
and

T

{\displaystyle T}
are the pressure, volume and temperature;

n

{\displaystyle n}
is the amount of substance; and

R

{\displaystyle R}
is the ideal gas constant. It is the same for all gases.
It can also be derived from the microscopic kinetic theory, as was achieved (apparently independently) by August Krönig in 1856 and Rudolf Clausius in 1857.

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1. ### What Is the Highest Temperature Reached in the Ideal Gas Cycle?

Question (see attached diagram): PV diagram with 7.5 moles of ideal diatomic gas through cycle a, b and c. What is the highest temperature reached by the gas during the cycle? (multiple choice answers 180, 325, 208 and 100 C, i know answer is 208 C but I'm not getting it!) It is a PV diagram...
2. ### Does Increasing Molecules in a Constant Temperature Container Affect Pressure?

Homework Statement If number of molecules in a closed container increases and it is kept at a constant tempurature, what happens to the pressure? I was confused because I thought if you add molecules the temputature would go up so keeping temputature a constant would have no affect on the...
3. ### Ideal Gas Law Equilibrium Requirements

It is well known that the ideal gas law applies only to an ideal gas, one consisting of particles infinitesimal in size and exhibits no interactions between the particles. Considering an ideal gas, is the ideal gas law valid under non-equilibrium conditions? For example, does the ideal gas law...
4. ### Hydrostatic Pressure Question?

Homework Statement During a test dive in 1939, prior to being accepted by the U.S. Navy, the submarine Squalus sank at a point where the depth of water was 73.0 m. The temperature at the surface was 27.0 ∘C and at the bottom it was 7.0 ∘C. The density of seawater is 1030 kg/m3. A diving bell...
5. ### Some help on Compressed Air Energy Storage

I was reading this article about different types of energy storage, and it gave this formula for compressed air. Joules = P0V0ln(P/P0) Where P0 = Atmospheric pressure 105 Pa V0 = Volume of air to be compressed in m3. P = Pressure in tank when compressed in Pa. Note: This formula is for...
6. ### CO2 forms from water and antacid tablet

Homework Statement For a chemistry lab, we're trying to find the amount of CaCO3 in an antacid table by measuring the change in pressure due to the reaction of CaCO3 with HCl to produce CO2. This question in the lab report is confusing me to no end... Let’s say the % concentrations of CaCO3...
7. ### Ideal Gas Law Problem: Finding Pressure with Temperature Change and Fixed Mass

does anyone know how to do this question. it feels like there's a part of the question missing as i don't know how to complete the equation The pressure of a fixed mass of gas in a sealed sphere is measured to be 1.02 x 10^5 Pa at a temperature of 253K. Assuming the volume of the sphere doesn't...
8. ### Should diatomic gas be regarded as ideal gas?

We know that one model for ideal gas is monoatomic gas with no attractive force between atoms, elastic collision and some other assumptions. I would like to ask if there exist a gas behave exactly the same but the only difference is it's a diatomic gas (or more complicated structure), should it...
9. ### Confused about Boyle's Law, Charles' Law and the pressure Law?

In my textbook, it says that pV=C (Boyle's Law), V/T=C (Charle's Law) and that P/T=C (pressure Law). The problem is that I cannot see how the first two equations combine to give the last one. If I divide the first equation by the second, I get that pT=C, which certainly is not the same as the...
10. ### Solving a Buoyancy Question Involving Air & Water

This was an extra question in an exam I took today. The temperature of the air in the bottle remains constant. I know this has something to do with buoyancy and ideal gases since temperature was mentioned in the question, and I think I could have easily solved the question, had the submerged...
11. ### Adiabatic gas cooling/heating: Explaining Conceptually

Hi, this is my first post on here. My question relates to adiabatic cooling/heating of a gas. I am trying to grasp the idea conceptually rather than being able to explain it mathematically per se... When gas escapes rapidly from a pressurised cylinder the rapid expansion of the gas is...
12. ### Ideal gas laws in cosmology usage

The ideal gas has the following requirements. 1) there are no intermolecular forces between the molecules. 2) the volume of the gas is negligible compared to the volume of the container they occupy. 3) the interactions between the particles and the container is perfectly elastic (total kinetic...
13. ### How to Calculate Final Pressure of an Ideal Gas with Changing Conditions?

Ideal gas laws question.. Help! Homework Statement Volume of 150cm^3 of an ideal gas has an initial temp. Of 20 degrees celcius and an initial pressure of 1 atm. What is the final pressure if the volume is reduced to 100cm^3 and the temp is raised to 40 degrees celcius. Homework...
14. ### Ideal gas laws dealing with pressure volume and temp.

Homework Statement An ideal gas has the following initial conditions: Vi = 520 cm3, Pi = 3 atm, and Ti = 100°C. What is its final temperature if the pressure is reduced to 1 atm and the volume expands to 1000 cm3? Homework Equations I used the equation p1 x v1 / t1 = p2 x v2 / t2...
15. ### Pressure and Temperature question: Ideal Gas Laws

Homework Statement Find the pressure and temperature when given the following data on helium gas: Volume (V) = 0.10 m^3 ** Helium mass (m) = 4.0 amu ** Number of atoms (N) = 3.0 x 10^24 Assuming PV = 1 then P=1/V then Pressure = 1.0 / 0.10m^3 = 10Pa Homework Equations PV = NkT...
16. ### Find the ratio (ideal gas laws) how to get a Ratio between two numberS>

Homework Statement The temperature of a fixed mass of gas drops from 127 C to 27 oC under constant pressure. Find the ratio of the new volume to the original volume. C. 3:4 D. 4:3 E. 1:1 A and B arent here because i have gotten them wrong. Homework Equations Ideal gas law: PV=...
17. ### Getting Empirical Forumula Using Ideal Gas Laws

Homework Statement CxHy gets burned in oxygen gas and makes CO2 and water. Given the partial pressure of water and the total pressure of the resulting mixture I need to find the empirical formula. Homework Equations Well PV=nRT is the obvious choice...but all the information you see...
18. ### Ideal gas laws and band gap q's

Hello, I am in the middle of revising topics for the materials section of myend of year exam. For some reason my department give out past papers but do not give out answers. Any answers to any of the follwing questions would be very helpful. I don't think too much detail is required just a...
19. ### Troubleshooting Ideal Gas Laws Problems: Mass, Moles, and Volume Calculations

I have a few homework problems on the Ideal Gas Laws, was wondering if someone could help me out with a few of the problems. 1) Hemoglobin has a molecular mass of 64 500 u. Find the mass (in kg) of 873 molecules of hemoglobin. Here's what I did: (64500 g/mol/6.022x10^23 mol^-1)(873...