Answer to Question #295273 in Molecular Physics | Thermodynamics for Xander

Question

The volume of a gas increases from 3Litres to 9Litres at a constant pressure of 4atm. Next,heat is added to increase the pressure to 10atm at constant finally heat is removed to decrease the pressure and volume back to the original values in a straight line path.

(a) Draw a PV-diagram

(b) Calculate the total workdone in this process.

Leave your answer in joules

Answer 1

(1)

PV diagram

(2)

Work done between Ato B

$W=L\times B$

$$W=((9-0)\times0.001)\times(4-0)\times1.0132\times10^5)=0.009\times4.0528\times10^5=3647.52J$$

Work done by B to C

$$W=(0.009\times(10-4)\times1.0132\times10^5)=0.009\times6.0792\times10^5)=5471.28J$$

Work done by C to D

$W=\frac{1}{2}\times B\times H$

$$W=\frac{1}{2}\times(12-9)\times0 .001\times6.0792\times10^5=0.5\times0.003\times6.0792\times10^5=911.88J$$

Total amount of work

$$W=3647.52+5471.28+911.88=10030.68J$$