Question

If the pressure of the gas contained in a vessel is increased by $0.4$%, when heated through $1^{\circ }C$. What is the initial temperature of the gas?

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

Answer 1

The correct option is A $250K$

For an Ideal Gas,

$PV=nRT$

$⟹V\Delta P=nR\Delta T$

$⟹\frac{\Delta P}{P}=\frac{\Delta T}{T}=0.004$

$⟹T=\frac{\Delta T}{0.004}=\frac{1K}{0.004}=250K$