Energy of a gas/litre is 600 joule, then what will be its pressure? (a) 4 × 10⁵ N/m ² (b) 10⁵ N/m ² (c) 6 × 10⁵ N/m ² (d) 3 × 10⁵ N/m ²

Answer: (a). Pressure P = 2/3E/V (translational KE per unit volume). E/V = 60010⁻³ = 6 × 10⁵ J/m ³ P = 2/3 × 6 × 10⁵ = 4 × 10⁵ N/m ² So the answer is (a) 4 × 10⁵ N/m ².

Energy of a gas/litre is 600 joule, then what will be its pressure? | MHT CET 2026 (13 Apr, Shift 2)

Q6MHT CET 2026 · 13 APR · SHIFT 2Medium

Pressure & Kinetic Energy of a Gas

Energy of a gas/litre is $600$ joule, then what will be its pressure?

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Answer: (a)

Pressure $P = \frac{2}{3}\frac{E}{V}$ (translational KE per unit volume).
$\frac{E}{V} = \frac{600}{10^{-3}} = 6 \times 10^{5}$ J/m $^3$
$P = \frac{2}{3} \times 6 \times 10^{5} = 4 \times 10^{5}$ N/m $^2$
So the answer is (a) $4 \times 10^{5}$ N/m $^2$ .

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