Question 541: Thermodynamics & KTG

Question

When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4%. The initial temperature of the gas is ___________ K.

Accepted Answer

$$PV = nRT$$
So $${{dP} \over P} 	imes 100 = {{dT} \over T} 	imes 100$$
$$0.4 = {1 \over T} 	imes 100$$
$$ \Rightarrow T = 250\,K$$

Thermodynamics & KTG

When a gas filled in a closed vessel is heated by raising the temperature by 1$^\circ$C, its pressure increases by 0.4%. The initial temperature of the gas is ___________ K.

Integer / Numeric Answer Type