Question

In answering this set of nine questions, you are encouraged to draw a PV diagram, with P (pressure) on the y axis and V (volume) on the x axis. Plot the three points A, B, and C on this diagram.

1. Consider 10.0 liters of an ideal (monatomic) gas at a pressure of 33.0 atm and a temperature of 326 K. Call this state of the system A. Using the ideal gas law, calculate the number of moles of gas present in the system.

Number of moles, n =  

2. The temperature of the system is reduced, keeping the volume constant at 10.0 liters, until the pressure in the system equals 13.0. Call this state of the system B. Calculate the temperature at this new state B in degrees K.

Temperature at state B =  

3. Now the gas is allowed to expand at constant pressure (13.0 atm) until the temperature is again equal to 326 K. Call this state of the system C. Calculate the volume of the gas at state C.

Volume at state C =  

4. Now calculate the work done on or by the system when the system moves back from state C to state A along the path CBA. Enter your answer in joules with the correct sign.

Work along the path CBA, w =  

5. Calculate the heat absorbed or liberated by the system when the system moves from state C to state B. Note that the molar heat capacity of an ideal gas under constant pressure is (5/2)R. Enter your answer in joules with the correct sign.

Heat along the path C to B, q =  

6. Using your results from the previous two questions, calculate the heat absorbed or liberated by the system as it moves from state B to state A. Enter your answer in joules with the correct sign.

Heat along the path B to A, q =  

7. What is the change in the internal energy of the system as the system travels down the isotherm from state A to state C?

Change in internal energy down the isotherm =  

8. How much work is done by the system as the system travels down the isotherm from state A to state C? Enter your answer in joules with the correct sign.

Work down the isotherm, w =  

9. How much heat must be absorbed or liberated by the system as it moves down the isotherm from A to C? Enter your answer in joules with the correct sign.

Heat down the isotherm, q =  

I got until number 3. I got 13.88 for #1, 175.51K for #2 and 20L for #3. May I ask for a help for rest of the problems?

Answer 1

1. moles, n=13.88

2. temp at B= 175.51 K

3. Volume at C= 20L

4. At A, P=33.0 atm, V=10 L, T=326 K

At B, P=13.0 atm, V=10 L, T=175.51 K

At C, P=13.0 atm, V=20 L, T=326 K

From C-B, w= P*(Vf-Vi)= (13 atm*101325 Pa/atm)*10= 1.31*10^7 J

From B-A, w= V*(P1-P2)= 10*(20atm*101325 Pa/atm)= 2.02*10^7 J

Total work from Cto B= 1.31*10^7+ 2.02*10^7= 3.33*10^7 J

5. Heat Cto B, q=mc(T2-T1)

Assuming the density to be 1

q=(20-10)*5/2*8.314(326-175.51)= 10*5/2*8.314*150.49

q= 31279.35 J

6. Heat from B to A, w= -P*delta V= -13(10-10)= 0 J