Question

1. a) How much work is done by/on the system when is taken from point a to point b following the path indicated in the figure?

b) How much heat is absorbed/released by the system when is taken from point a to point b following the path indicated in the figure? Express your answer in kJ

c) What is the change in internal energy, ?U? Express your answer in kJ.

2. a) How much work is done on the system when is taken from point b to point c following the path indicated in the figure?

b) How much heat is absorbed/released by the system when is taken from point b to point c following the path indicated in the figure? Express your answer in kJ

c) What is the change in internal energy, ?U? Express your answer in kJ.

3. a) How much work is done on the system when is taken from point c to point a following the path indicated in the figure?

b) How much heat is absorbed/released by the system when is taken from point c to point a following the path indicated in the figure?

c) Use your answers from the previous problems to calculate the change in internal energy, ?U, when the system is taken from point c to point a following the path indicated in the figure. Express your answer in kJ.

Answer 1

1) a ) Work done = $W=P(V_f-V_i)=2\times(1.5-0.5)=2atm L=0.2026kJ$

b)Change in temperature is

$\frac{V_a}{T_a}=\frac{V_b}{T_b}\\ \implies \frac{0.5}{T_a}=\frac{1.5}{T_b}\\ \implies T_b=3T_a$

So Heat absorbed is $\Delta Q=nC_p\Delta T=1\times2.5R\times2T_a=5RT_a$

c) $\Delta U=nC_v\Delta T=1\times1.5R\times2T_a=3RT_a$