AP EAMCET · PHYSICS · Kinetic Theory of Gases
A vessel that can withstand a pressure of \(100 \mathrm{~atm}\) is filled with hydrogen at \(27^{\circ} \mathrm{C}\) up to a pressure of \(20 \mathrm{~atm}\). If the vessel is heated, then the temperature at which it explodes is
- A \(500 \mathrm{~K}\)
- B \(1000 \mathrm{~K}\)
- C \(1500 \mathrm{~K}\)
- D \(2000 \mathrm{~K}\)
Answer & Solution
Correct Answer
(C) \(1500 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
From ideal gas equation \(\begin{aligned} & \mathrm{PV}=\mathrm{nR} T \\ & \frac{\mathrm{P}_1}{\mathrm{P}_2}=\frac{\mathrm{T}_1}{\mathrm{~T}_2} \\ & \mathrm{~T}_2=\frac{\mathrm{P}_2 \mathrm{~T}_1}{\mathrm{P}_1}=\frac{100 \times(27+273)}{20}=1500 \mathrm{~K}\end{aligned}\)
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