Question

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

• A. $250K$
• B. ${250}^{o}C$
• C. ${25}^{o}C$
• D. $25K$

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, $T=250K$