AP EAMCET · PHYSICS · Kinetic Theory of Gases
A vessel of volume 10 liters is filled with \(\mathrm{H}_2\) gas. The total average translational kinetic energy of its molecules is \(4.5 \times 10^5 \mathrm{~J}\). The pressure of hydrogen in the vessel is
- A \(3 \times 10^6 \mathrm{Nm}^{-2}\)
- B \(30 \times 10^6 \mathrm{Nm}^{-2}\)
- C \(30 \times 10^4 \mathrm{Nm}^{-2}\)
- D \(3 \times 10^4 \mathrm{Nm}^{-2}\)
Answer & Solution
Correct Answer
(B) \(30 \times 10^6 \mathrm{Nm}^{-2}\)
Step-by-step Solution
Detailed explanation
Pressure, \(P=\frac{2}{3} \frac{\mathrm{E}}{\mathrm{V}}=\frac{2}{3} \times \frac{4.5 \times 10^5}{10 \times 10^{-3}}=30 \times 10^6 \mathrm{Nm}^{-2}\)
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