Question

A sample of gas occupies a volume of 67.4 mL 67.4 mL . As it expands, it does 126.8 J 126.8 J of work on its surroundings at a constant pressure of 783 Torr 783 Torr . What is the final volume of the gas?

Answer 1

The final volume of the gas is 1.29 L

Step-by-step explanation:

To calculate the amount of work done for an isothermal process is given by the equation:

w = work done by the system =
`P\Delta V`

P = pressure = 783 torr = 1.03 atm (1atm=760 torr)

w= 126.6 J = 1.2517Latm (1Latm=101.3J)

`V_1` = initial volume = 67.4 ml = 0.0674L (1L=1000ml)

`V_2` = final volume = ?

`1.2517Latm=1.03atm* (V_2-0.0674)L`

`(V_2-0.0674)=1.23V_2=1.29L`

Therefore, the final volume of the gas is 1.29 L