# CHEM ideal gas

posted by .

hi

i am working on trying to derive KE (or Etrans)=3/2nRT

so i know these steps

that

___________

pV= nRT

and pV= 1/3 NmV2

and combining them, we get

nRT= 1/3Nmv2

also, we know that for translational motion, KE= 1/2Nmv2

______

i don't know how

2/3 (1 /2 Nmv2) = nRT

where did that 2/3 come from??!!

i know that subsequently, it will be 2/3KE= nrt

and i will get KE=3/2 nRT

i just don't KNOW WHERE THE 2/3 came from in the first place!

• CHEM ideal gas -

2/3 x 1/2 is another way of writing 1/3. The equations

nRT= (1/3)Nmv^2

and

nRT = (2/3)(1/2)NmV^2

are equivalent.

## Similar Questions

1. ### chemistry

Gas X has a density of 2.60g/L at STP. Determine the molar mass of this gas. Sorry there was some typos on the previous question. please show me again steps by steps. thank you =] Same answer. You just left the g off the density. One …
2. ### REETA

A 2.10 mol sample of oxygen gas is confined to a 5.10 L vessel at a pressure of 7.99 atm. Find the average translational kinetic energy of an oxygen molecule under these conditions in (j/mol) When i was working this out i tried using …
3. ### physics

A 2.10 mol sample of oxygen gas is confined to a 5.10 L vessel at a pressure of 7.99 atm. Find the average translational kinetic energy of an oxygen molecule under these conditions in (j/mol) When i was working this out i tried using …
4. ### Physics ideal gases

Would someone check my thinking please. PVT of an ideal gas (nitrogen) are all given. I've used PV=nRT rearranged to get the number of moles. Then, U= 3/2nRT to get the internal energy of the sample. Am I on the right track?
5. ### chemistry

. Consider a non-ideal gas with the equation of state: where b is a constant. i) Derive expressions for: (P/T)V and (T/V)P ii) For a constant temperature process involving this non-ideal gas, show that …
6. ### Chemistry

According to the ideal gas law a 9.03 sample of oxygen gas in a 0.8112 container at 499k should exert a pressure of 456atm. By what % does the pressure calculated using van der waals equation differ from the ideal pressure?
7. ### Chem Ideal Gas Law

A 1.05 g sample of an ideal gas occupies 1.045 L at 20.0°C and 0.975 atm. What will be its volume at -8.6°C and 0.5 atm?
8. ### chemistry

Which one of the following statements regarding ideal gas laws is FALSE?
9. ### Chemistry

A calorimeter is filled with 10.0 millimole (mmole) of methane gas and an excess of oxygen. When burned, the ignition wire releases 140.77 J of heat. The heat capacity of the calorimeter is 4.319 KJ°C-1. qwire= 140.77 J Calculate …
10. ### chemistry

If I contain 3 moles of gas in a container with a volume of 60 liters and at temperature of 400 K, what is the pressure inside the container?

More Similar Questions