Question

Calculate the work when a cylinder equipped with a piston changes volume from 0.200 L to 0.600 L against an external pressure of 3.00 atm (Remember that 101.3 J = 1 L∙atm)

Answer 1

`-121.56\ \text{J}`

Step-by-step explanation:

`V_1` = Initial volume = 0.2 L

`V_2` = Final volume = 0.6 L

P = Pressure = 3 atm

`W=-P\Delta V\\\Rightarrow W=-3(V_2-V_1)\\\Rightarrow W=-3(0.6-0.2)\\\Rightarrow W=-1.2\ \text{L atm}`

`1\ \text{L atm}=101.3\ \text{J}\\\Rightarrow -1.2\ \text{L atm}=-1.2* 101.3\ \text{J}=-121.56\ \text{J}`

Work done is
`-121.56\ \text{J}`.