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Temperature of an ideal gas, initially at \(27^{\circ} \mathrm{C}\), is raised by \(6^{\circ} \mathrm{C}\). The rms velocity of the gas molecules will,
(A) increase by nearly \(2 \%\)
(B) decrease by nearly \(2 \%\)
(C) increase by nearly \(1 \%\)
(D) decrease by nearly \(1 \%\)

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Ans(C)
\(\mathrm{v}_{\mathrm{rms}} \propto \sqrt{\mathrm{T}} \Rightarrow \frac{\Delta \mathrm{v}}{\mathrm{v}}=\frac{1}{2} \frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{1}{2} \times \frac{6}{300}=\frac{1}{100}\)
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