Question

A sample of gas occupies a volume of 64.0 mL . As it expands, it does 137.1 J of work on its surroundings at a constant pressure of 783 Torr . What is the final volume of the gas

Answer 1

Answer : The final volume of the gas is, 34.8 L

Explanation :

Formula used :

`w=p* (V_2-V_1)`

where,

w = work done = 137.1 J = 35.8 L.atm (1 L.atm = 101.3 J)

p = external pressure = 783 torr = 1.03 atm (1 atm = 760 torr)

`V_2` = final volume = ?

`V_1` = initial volume = 64.0 mL = 0.0640 L (1 L = 1000 mL)

Now put all the given values in the above formula, we get:

`35.8L.atm=1.03atm* (V_2-0.0640L)`

`V_2=34.8L`

Thus, the final volume of the gas is, 34.8 L