PROBLEM 40P

A dramatic classroom demonstration involves cooling a balloon from room temperature (298 K) to liquid nitrogen temperature (77 K). If the initial volume of the balloon is 2.7 L, what is its volume after it cools? (Ignore the effect of any gases that might liquefy upon cooling.)

Solution 40P

Given :

Initial volume of the balloon() = 2.7 L.

Initial temperature() = 298 K.

Final temperature() = 77 k

Volume after it cools = ?

Charles’s law states that ‘At a fixed pressure, the volume of a gas is directly proportional to the kelvin temperature of the gas.’

Mathematically it can be represented as :

V T Or = k

where:

V = volume...