A rigid vessel initially contains 100 moles of an ideal gas at T = 353.15 K and P = 0.1 MPa. The ideal gas has CP* = (7/2)R. Heat is added until the pressure of the gas is P = 0.3 MPa. How much heat was added?
A. 2.1 MJ
B. No heat has been added because only pressure increases and ideal gas enthalpies are a function of temperature only.
C. 466. kJ
D. 1.5 MJ
E. Insufficient information to solve
A. Incorrect. You appear to be using the constant pressure heat capacity to calculate a change in internal energy.
B. Incorrect. You do not know from the problem statement what the final temperature is. You need to find a way to calculate it first.
C. Incorrect. The ideal gas law MUST be solved using ABSOLUTE temperatures and pressures.
D. Correct. Using the ideal gas law twice to find the rigid volume and final temperature, the energy balance can be solved for heat added.
E. Incorrect. All the information required is present, no assumptions are even required.
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