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10 mole of oxygen is heated at constant volume from 30^ C to 40^ C . The change in the internal energy of the gas is _ _ _ _ cal. (The molecular specific heat of oxygen at constant pressure, C_ P =7 cal / mol . ^ C and R =2 cal / mol . ^ C .)

Correct answer

500

Step-by-step solution

Given: n = 10 mol, T = 40 - 30 = 10°C , C_P = 7 cal/mol·°C, R = 2 cal/mol·°C For ideal gas: C_V = C_P - R = 7 - 2 = 5 cal/mol·°C Change in internal energy: U = nC_V T = 10 5 10 = 500 cal

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