Question

A monatomic ideal gas has its volume decreases by a factor of five while its pressure is held constant. Part A What is the change in entropy per atom?

Answer 1

-5.4098

Step-by-step explanation:

We know that at constant pressure
`volume\proptotemperature`

In question it is given that volume is decreases by
`(1)/(5)` times

So
`(V_1)/(V_2)=(T_1)/(T_2)`

`(T_1)/(T_2)=(V_1)/((V_1)/(5))`

`T_2=(T_1)/(5)`

The change in entropy is given by

`\Delta s=(3)/(2)Nln(T_2)/(T_1)+Nln((v_1)/(5))/(v_1)`

`(\Delta s)/(N)=(3)/(2)ln(1)/(5)+ln(1)/(5)`

`(\Delta s)/(N)=-5.4098`