Two containers of equal volume contain the same gas at pressure p1 and p2 and absolute temperatures T1 and T2 respectively. On joining the vessels, the gas reaches a common pressure p and a common temperature T. The ratio p/T is equal to

Q: Two containers of equal volume contain the same gas at pressure p1 and p2 and absolute temperatures T1 and T2 respectively. On joining the vessels, the gas reaches a common pressure p and a common temperature T. The ratio p/T is equal to
(a)p1/T1 + p2/T2
(b)½ [p1/T1 + p2/T2]
(c)[p1T2 + p2T1]/(T1+T2)
(d)[p1T2 – p2T1]/(T1-T2)
Solution : (b)
For a closed system, the total mass of gas or the number of moles remains constant.
P1V = n1RT1 ,     p2V = n2RT2
p(2V) = (n1 + n2)RT
p(2V) = (p1V/RT1 + p2V/RT2)RT
p/T =1/2[p1/T1 + p2/T2]

Author: Rajesh Jha

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