Question

An ideal gas in a balloon is kept in thermal equilibrium with its constant-temperature surroundings. How much work is done if the pressure is slowly reduced and the balloon expands to five times its original size?

The balloon initially has a pressure of 815.0 Pa and has a volume of 0.70 m^3.

Answer 1

W = 918.18 J

Step-by-step explanation:

given,

Initial pressure of balloon = 815.0 Pa

Initial Volume = 0.7 m³

volume expand by = 5 times

From the ideal gas equation

PV = nRT

And work is equal to

`W = n RT ln((5V_0)/(V_0))`

`W =P_0V_0 ln(5)`

`W =815 * 0.7* ln(5)`

W = 918.18 J

Work done by expanding the balloon is equal to W = 918.18 J