Question

A sample of gas occupies a volume of 57.8 mL 57.8 mL . As it expands, it does 110.8 J 110.8 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

Answer: The final volume of the gas is 1.12 L

Explanation:

W = work done on or by the system

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

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

w= 110.8 J = 1.094 J       (1Latm=101.3J)

$V_1$ = initial volume = 57.8 ml = 0.0578L   (1L=1000ml)

$V_2$ = final volume = ?

$1.094Latm=1.03atm\times (V_2-0.0578)L$

$(V_2-0.0578)=1.06$

$V_2=1.12L$

The final volume of the gas is 1.12 L