Question

5) A container of gas with N molecules has the following state variables: Po, Vo, and To A second container has twice the number of molecules as the first, triple the pressure and T-To What is the volume of the second container in terms of Vo? Show your work. 1055 PMR d ENG

Answer 1

Ans:-

Given data: container1 contain N molecules, has pressureP0, volume V0, tempture T0

Container 2 has 2N molecules, P= 3P0, T = T0, V= ?

In this question we have to apply conservation of temp

For container 1^st apply gas law       

P0V0 =NRT0 ………………….1

P0V0 /NR = T0…………………2

For container 2^nd

PV = NRT………………..3

Put all the value of container 2^nd

3P0 V = 2N RT0………………..4

Put eqn 2 value of T0 in 4 we get

3P0V = 2NR P0V0 / NR

3P0 V = 2P0V0

V = 2/3V0