3.00 moles of an ideal gas are contained in a cylinder with a constant external

Question

3.00 moles of an ideal gas are contained in a cylinder with a constant external pressure of 1.00 atm and at a temperature of 419 K by a movable, frictionless piston. This system is cooled to 288 K. a. Calculate the work done on or by the system, w (J) Submit Answer Tries 0/2 b. Given that the molar heat capacity (C) of an ideal gas is 20.8 1/mol K, calculate q(J), the heat that flows into or out of the system. Submit Answer Tries 0/2 c. Calculate the change in internal energy for this ideal system, in joules Submit Answer Tries 0/2

Explanation / Answer

a.

W = -P*dV

P = 1 atm, 101325 Pa

Vi = nRT/P = 3*8.314*419/10135 = 1.0311 m3

Vf =  nRT/P = 3*8.314*288/10135 = 0.70876 m3

W = -P*dV = -101325*(0.70876 -1.0311 ) = 32661.10 J

b.

given Cp = 20.8 J/molK, get Q

Q = n*Cp*dT

Q = 3*20.8*(288-419)

Q = -8174.4 J

C)

dE = Q-W = -8174.4 -32661.10

dE = -40835.5 J

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