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In order to increase the temperature of the gas filled in a closed vessel by 1oC,its pressure is increased by 0.4%.The initial temperature of the gas is

a
250oC
b
250K
c
2500oC
d
25oC

detailed solution

Correct option is B

T1=T;P1=P;V=Constant T2=T1+ 1; P2= P+4P1000;μ=ConstantWe Know thatPv=μRT P1P2=T1T2 PP+4P/1000=TT+1  11004 /1000=TT+1 10001004=TT+1 1000T+1000=1004T 1000=4T⇒T=250K

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