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A vessel of volume 10 litres is filled with oxygen gas. The total average translational kinetic energy of all its molecules is 3 * 10² J. If the pressure of the gas is expressed as k * 10⁴ N/m², find k.

1. 1
2. 2
3. 3
4. 4

Correct answer: 2

Solution

The total translational kinetic energy of an ideal gas is KE = (3/2)*P*V. Rearranging: P = (2/3)*(KE/V) = (2/3)*(300/0.01) = (2/3)*30000 = 20000 = 2 * 10⁴ N/m². So k = 2.

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