10 mole of oxygen is heated at constant volume from $$30^{\circ}C \text{to} 40^{\circ}C$$. The change in the internal energy of the gas is ____ cal (the molecular specific heat of oxygen at constant pressure, $$C_{p}= 7 \text{cal}/\text{mol}.^{\circ}C \text{and} R = 2 \text{cal}./\text{mol}.^{\circ}C).$$

Correct Answer: 500

$$\Delta U = nC_v\Delta T$$. For O₂: $$C_v = C_p - R = 7 - 2 = 5$$ cal/mol.°C.

$$\Delta U = 10 \times 5 \times 10 = 500$$ cal.

The answer is 500.

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