An open vessel containing air at 292 K was cooled to a certain temperature at which the number of moles of the gaseous molecules increased by 25%. The final temperature of the vessel is
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a
234 K
b
25 K
c
210 K
d
- 40 K
answer is A.
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Detailed Solution
Suppose the volume of the container is V containing n moles at 292K. Let the temperature be T( K) when, n mole increase to 1.25 n (i.e. by 25%)∵ 1.25 n moles at f (K) occupy a volume, V∵n moles at T( K) occupy a volume V1.25T1=292 K,V1=V,p1=p, T2=T K,V2=V1.25p1=p2 (constant)From p1V1T1=p2V2T2pV292=p×V1.25T⇒T=233.6 K≈234 K