JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
When a gas filled in a closed vessel is heated by raising the temperature by \(1^{\circ} C\), its pressure increase by \(0.4 \%\). The initial temperature of the gas is ..........\(K\)
- A \(270\)
- B \(258\)
- C \(250\)
- D \(290\)
Answer & Solution
Correct Answer
(C) \(250\)
Step-by-step Solution
Detailed explanation
\(pV = nRT\) \(\Delta P . V = nR \Delta T\) \(\Rightarrow \frac{\Delta P }{ P }=\frac{\Delta T }{ T }=\frac{0.4}{100}\) \(\Rightarrow T =\frac{100 \times 1}{0.4}=250 K\)
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