A sample of hydrogen has a volume of 1107 mL when the temperature is 101.9 degC and the pressure is 0.867 atm. What will be the volume of the gas at STP?

1 Answer
anor277
Jun 20, 2016

#(P_1V_1)/T_1=(P_2V_2)/T_2#

Explanation:

So what is #"STP"#? Standards differ across curricula. I use the IUPAC standard of #273.15*K#, and #0.98692*atm#. (The pressure is this absurd value because this represents #100*kPa#. Chemists usually prefer to work in #"atmospheres"#, as this may be directly measured in a laboratory with a mercury column.)

For the calculation, #V_2# #=# #(P_1*V_1*T_2)/(T_1*P_2)#

#=# #(0.867*atmxx1107*mLxx273.15*K)/(375.1*Kxx0.987*atm)#

#=# #??mL#

Clearly, the expression gives an answer in #mL#, as is required for a volume.

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