Two volumes (V_1 = 200 cm^2 and V_2 = 400 cm^3) are connected to each other with
ID: 1547202 • Letter: T
Question
Two volumes (V_1 = 200 cm^2 and V_2 = 400 cm^3) are connected to each other with a reasonably small 200 and V2 400 cm are to each other with a into tube with a valve turned initially in the closed position. An ideal gas is the volume V1 until it reaches an absolute pressure of 6.000 Pa at 300 K. opened and the a constant temperature of 300K, the valve between the two containers pressure distributes into the larger volume V2 until a final equilibrium exists between the two volumes. Determine the final numbers of gas particles in container.Explanation / Answer
a)
use,
P*v=n*R*T
or
P*V=N*kB*T
P1*v1=N1*KB*T1
6000*200*(10^-2)^3=N1*1.38*10^-23*300
===> N1=2.9*10^20 ----->
no of particle in first container, N1=2.9*10^20
b)
at constant temperature,
P1*V1=P2*V2
6000*200*(10^-2)^3=P2*400*(10^-2)^3
===>P2=3000 Pa
use,
P2*V2=N2*KB*T1
3000*200*(10^-2)^3=N2*1.38*10^-23*300
====> N2=1.45*10^20 ----->
no of particle in second container, N2=1.45*10^20
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