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,

`(P_1V_1)/(T_1)=(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:

`(84kPa* 8.0L)/(305K)=(100kPa* V_2)/(273K)`

`V_2=6.015L`

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