Question

Five liters of air at 50 c is warmed to 100c what is the new volume if the pressure remain constant

Answer 1

To solve the problem, we can use Charle's law, which states that for an ideal gas at constant pressure the ratio between absolute temperature T and volume V remains constant:
$\frac{T}{V}=k$
For a gas transformation, this law can be rewritten as
$\frac{T_1}{V_1}= \frac{T_2}{V_2}$ (1)
where 1 and 2 label the initial and final conditions of the gas.

Before applying the law, we must convert the temperatures in Kelvin:
$T_1 = 50^{\circ}C + 273 = 323 K$
$T_2 = 100^{\circ}C+273=373 K$
The initial volume of the gas is $V_1 = 5 L$, so if we re-arrange (1) we find the new volume of the gas:
$V_2 = V_1 \frac{T_2}{T_1}=(5 L) \frac{373 K}{323 K}=5.77 L$