Question

Question #b6669

Answer 1

The new volume of hydrogen gas at STP is `4550 "L"`.

The equation for the combined gas law is `(P_1V_1)/T_1=(P_2V_2)/T_2`.

If I read your problem correctly, you want the volume of hydrogen gas after it has been adjusted to STP.

Known:
`P_1=100.0 "atm"`
`V_1=50.0 "amt"`
`T_1=27.0^"o""C+273.15=300.2K"`

`P_2=1.00 "atm"`
`T_2=0^"o""C+273.15=273.15K"`

Unknown:
`V_2`

Solution: Rearrange the equation to isolate and solve for `V_2`.

`V_2=(P_1V_1T_2)/(T_1P_2)=(100.0cancel"atm" * 50.0 "L" * 273.15cancel"K")/(300.2cancel"K" * 1.00cancel"atm")=4550 "L"`