An ideal gas expands from `10^(-3) m^(3)` to `10^(-2) m^(3)` at 300 K against a constant pressure of `10^(5) Nm^(-2)`. The workdone is

Options

A. `-10^3 kJ`
B. `10^2 kJ`
C. `-0.9 kJ `
D. `-900 kJ`

Answer

C

Explanation

`W =- P_(ex)(V_2 - V_1)`
`= -10^5 Nm^(-2) (10^(-2)-10^(-3))m^3`
`=- 10^5 xx (1/100 -1/1000)j`
`=- 10^5 xx ((1000-100)/(10000))= -900 J `
`=- 0.9 kJ`