JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Pressure of an ideal gas, contained in a closed vessel, is increased by \(0.4 \%\) when heated by \(1^{\circ} \mathrm{C}\). Its initial temperature must be :
- A \(25^{\circ} \mathrm{C}\)
- B \(2500\mathrm{~K}\)
- C \(250\mathrm{~K}\)
- D \(250^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(C) \(250\mathrm{~K}\)
Step-by-step Solution
Detailed explanation
Isochoric process \(\begin{aligned} & \mathrm{P} \propto \mathrm{T} \\ & \frac{\Delta \mathrm{P}}{\mathrm{P}}=\frac{\Delta \mathrm{T}}{\mathrm{T}}\end{aligned}\) \(\begin{aligned} & \frac{0.4}{100}=\frac{1}{T} \\ & T=250 \mathrm{~K}\end{aligned}\)
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