Question

Determine how many liters of hydrogen adjusted to STP there are in a 50.0 liter steel cylinder if the pressure inside is 100.0 atm and the temperature is 27.0oC.

Answer 1

Answer : The volume of hydrogen gas at STP is 4550 L.

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 = 100.0 atm

`P_2` = final pressure of gas at STP = 1 atm

`V_1` = initial volume of gas = 50.0 L

`V_2` = final volume of gas at STP = ?

`T_1` = initial temperature of gas =
`27.0^oC=273+27.0=300K`

`T_2` = final temperature of gas at STP =
`0^oC=273+0=273K`

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

`(100.0atm* 50.0L)/(300K)=(1atm* V_2)/(273K)`

`V_2=4550L`

Therefore, the volume of hydrogen gas at STP is 4550 L.