AP EAMCET · PHYSICS · Kinetic Theory of Gases
A thermally insulated vessel with nitrogen gas at \(27^{\circ} \mathrm{C}\) is moving with a velocity of \(100 \mathrm{~ms}^{-1}\). If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly
(assume entire loss in \(\mathrm{KE}\) of the gas is given as heat to gas and \(R=8.3 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}\) )
- A 1.1
- B 0.93
- C 0.5
- D 2.25
Answer & Solution
Correct Answer
(D) 2.25
Step-by-step Solution
Detailed explanation
Let there are \(n\) moles of \(N_2\) gas in the cylinder. Assuming all of \(K, E\) appears in form of heat, \(n\left(\frac{1}{2} M v^2\right)=\frac{f}{2} n R \Delta T\) Here, \(M=28 \mathrm{~g}=28 \times 10^{-3} \mathrm{~kg}, f=5\) Increment in pressure due to change of…
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