Question

A vertical cylinder equipped with a mobile piston contains 8.0 liters of an ideal gas at 32 °C with a pressure of 84K pa. The volume of gas at STP is

Answer 1

Answer : The volume of gas at STP is 6.015 liters.

Explanation :

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1$ = initial pressure of gas = 84 kPa

$P_2$ = final pressure of gas = 100 kPa  (at STP)

$V_1$ = initial volume of gas = 8.0 L

$V_2$ = final volume of gas = ?

$T_1$ = initial temperature of gas = $32^oC=273+32=305K$

$T_2$ = final temperature of gas = $0^oC=273+0=273K$    (at STP)

Now put all the given values in the above equation, we get:

$\frac{84kPa\times 8.0L}{305K}=\frac{100kPa\times V_2}{273K}$

$V_2=6.015L$

Therefore, the volume of gas at STP is 6.015 liters.