AP EAMCET · PHYSICS · Kinetic Theory of Gases
A vessel containing nitrogen gas is supplied a heat of \(498 \mathrm{~J}\), so as to raise the temperature of the gas by \(40^{\circ} \mathrm{C}\) at constant pressure. The mass of nitrogen gas in the vessel is (Molecular mass of nitrogen \(=28 \mathrm{~g}\); Universal gas constant \(=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\) )
- A \(18 \mathrm{~g}\)
- B \(12 \mathrm{~g}\)
- C \(20 \mathrm{~g}\)
- D \(15 \mathrm{~g}\)
Answer & Solution
Correct Answer
(B) \(12 \mathrm{~g}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \Delta \mathrm{Q}=\mathrm{nC}_{\mathrm{P}} \Delta \mathrm{T} \\ & \Rightarrow \Delta \mathrm{Q}=\frac{\mathrm{M}}{\mathrm{M}_0}\left(\frac{\mathrm{f}}{2}+1\right) \mathrm{R} \Delta \mathrm{T} \\ & \Rightarrow…
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