Part A A cylinder contains 11 moles of an ideal gas at a temperature of 300 K. T
ID: 1621426 • Letter: P
Question
Part A
A cylinder contains 11 moles of an ideal gas at a temperature of 300 K. The gas is compressed at constant pressure until the final volume equals 0.7 times the initial volume. The molar heat capacity at constant volume of the gas is 24.0 J/mol · K and the ideal gas constant is R = 8.314 J/mol · K. The heat absorbed by the gas is closest to
A cylinder contains 11 moles of an ideal gas at a temperature of 300 K. The gas is compressed at constant pressure until the final volume equals 0.7 times the initial volume. The molar heat capacity at constant volume of the gas is 24.0 J/mol · K and the ideal gas constant is R = 8.314 J/mol · K. The heat absorbed by the gas is closest to
24 kJ. 32 kJ. -8.2 kJ. -24 kJ. -32 kJ.Explanation / Answer
heat = work done + chnage in internal energy
= PdV+ nCvdt
= nRdt + nCv dt = dt n ( R+Cv)
we know that V1/T1= V2/ T2
V1/ 300 = 0.7 V1/ T2
T2= 300 (0.7) = 210 K
heat = ( 300-210) ( 11) (8.314 + 24) = 32 KJ
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