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,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 100.0 atm
[tex]P_2[/tex] = final pressure of gas at STP = 1 atm
[tex]V_1[/tex] = initial volume of gas = 50.0 L
[tex]V_2[/tex] = final volume of gas at STP = ?
[tex]T_1[/tex] = initial temperature of gas = [tex]27.0^oC=273+27.0=300K[/tex]
[tex]T_2[/tex] = final temperature of gas at STP = [tex]0^oC=273+0=273K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{100.0atm\times 50.0L}{300K}=\frac{1atm\times V_2}{273K}[/tex]
[tex]V_2=4550L[/tex]
Therefore, the volume of hydrogen gas at STP is 4550 L.
