A 4.700 L sample of gas is cooled from 71.0 °C to a temperature at which its volume is 3.300 L. What is this new temperature? Assume no change in pressure of the gas.

initial condition : Vi = 4.700 L, Ti = 71.0ºC + 273 = > 344 K

final condition : Vf = 3.300 L, Tf = ?

Pressure is constant:

According to charle's law, volume is directly proportional to temperature at constant pressure!

Hence Vi / Ti = Vf / Tf

4.700 L / 344 K = 3.300 L / Tf

Tf = 3.300 L * 344 K / 4.700 L

Tf = 1135200 / 4.700

Tf = 241.53 K

Tf = 241.53 - 273

Tf = - 31.47ºC