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One kg of a diatomic gas is at a pressure of 8 × 10⁴ N/m². The density of the gas is 4 kg/m³. What is the energy of the gas due to its thermal motion?
- 5 × 10⁴ J
- 6 × 10⁴ J
- 7 × 10⁴ J
- 3 × 10⁴ J
Correct answer: 5 × 10⁴ J
Solution
The energy of a diatomic gas due to its thermal motion can be calculated using the formula for internal energy, which is related to the number of degrees of freedom and the temperature. Given the pressure and density, the correct calculation leads to an energy of 5 × 10⁴ J, confirming option A as the right answer.
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