MHT CET · Physics · Kinetic Theory of Gases
What is the pressure of hydrogen in a cylinder of volume 10 litre if its total energy of translation is \(7.5 \times 10^3 \mathrm{~J}\) ?
- A \(5 \times 10^5 \mathrm{Nm}^{-2}\)
- B \(10^6 \mathrm{Nm}^{-2}\)
- C \(0.5 \times 10^5 \mathrm{Nm}^{-2}\)
- D \(5 \times 10^6 \mathrm{Nm}^{-2}\)
Answer & Solution
Correct Answer
(A) \(5 \times 10^5 \mathrm{Nm}^{-2}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \text { Pressure } & =\frac{2}{3} \times \frac{\text { Kinetic energy }}{\text { Volume }} \\ & =\frac{2 \times 7.5 \times 10^3}{3 \times\left(10 \times 10^{-3}\right)}=5 \times 10^5 \mathrm{~N} / \mathrm{m}^2\end{aligned}\)
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