A balloon has a volume of 253.2 ml at 356k. the volume of the balloon is decreased to 165.4ml. determine the new temperature

Using the Ideal gas law: PV = nRT; and given the initial conditions:

V1 = 253.2 mL

T1 = 356K

We are asked to determine the new temperature if the volume of the balloon decreased to (V2 = 165.4 mL)

Assume that the pressure and number of moles are constant, the ideal gas law becomes:

V/T = constant

V1/T1 = V2/T2

Solving for T2:

253.2 ml / 356K = 165.4 ml/T2

T2 = 232.55K