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Question:

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?

3 × 104 J

5 × 104 J

6 × 104 J

7 × 104 J

Solution:

E = ½nRT = ½PV = ½P(V) = ½P(m/ρ) = ½ * (8 × 104 N/m2) * (1 kg / 4 kg/m3) = 5 × 104 J