Question

If pressure of a gas contained in a closed vessel is increased by $0.4\text{\%}$ when heated by $1^{\circ }C$ its initial temperature must be :

• A. $250K$
• B. ${250}^{\circ }C$
• C. $2500K$
• D. ${25}^{\circ }C$

Answer 1

Answer: (A)

$250K$

If pressure of a gas contained in a closed vessel is increased by $0.4\text{\%}$ when heated by $1^{\circ }C$ its initial temperature must be $250K$
In a closed vessel V and n are constant.
$PV=nRT$
Hence, $P{T}^{\prime }=P^{\prime }T$
$P(T+1)=1.004PT$
$T+1=1.004T$
$1=0.004T$
Hence, $T=250K$