Thermodynamics

JEE Main level, single correct, medium

74 of 190

Question 74 of 190

Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4%0.4 \% when heated by 1∘C1^{\circ} \mathrm{C}. Its initial temperature must be :

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Answer: (C) 250 K250\mathrm{~K}

Isochoric process
P∝TΔPP=ΔTT\begin{aligned} & \mathrm{P} \propto \mathrm{T} \\ & \frac{\Delta \mathrm{P}}{\mathrm{P}}=\frac{\Delta \mathrm{T}}{\mathrm{T}}\end{aligned}
0.4100=1TT=250 K\begin{aligned} & \frac{0.4}{100}=\frac{1}{T} \\ & T=250 \mathrm{~K}\end{aligned}

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