TS EAMCET · Physics · Kinetic Theory of Gases
Air is filled at \(60^{\circ} \mathrm{C}\) in a vessel of open mouth. The vessel is heated to a temperature \(t^{\circ} \mathrm{C}\) so that \(\frac{1}{4}\) th of the air is escaped from the vessel. Assuming air as ideal gas and the volume of the vessel remaining constant, then the value of ' \(t\) ' is
- A \(80^{\circ} \mathrm{C}\)
- B \(171^{\circ} \mathrm{C}\)
- C \(333^{\circ} \mathrm{C}\)
- D \(444^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(171^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Initial temperature, \(T_1=60^{\circ} \mathrm{C}=60+273=333 \mathrm{~K}\) Mass of the air left in the vessel, \(M_2=M-\frac{M}{4}\) \[ =\frac{3 \mathrm{M}}{4} \] Here pressure and volume remain constant from ideal gas equation…
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