Question

What is the density of hydrogen gas using the ideal gas law?

Answer 1

Of course, for `"density"` we need to SPECIFY....`"temperature"` and `"pressure...."`

Explanation:

And, using standard conditions of `P=1*atm`...and `T=298*K`, we address the Ideal Gas equation...(at least near standard conditions....)

`PV=nRT`...`n/V=P/(RT)=("mass"/"molar mass")/V=P/(RT)`

And so....

`underbrace("mass"/V)_("density"=rho)=P/(RT)xx"molar mass"`

And thus our working equation...`rho_(H_2)=P/(RT)xx2.016*g*mol^-1`

`=(1*atmxx2.016*g*mol^-1)/(0.0821*(L*atm)/(K*mol)xx298*K)~=0.1*g*L^-1`

We note that hydrogen gas, as are all elemental gases with any chemistry, is bimolecular, i.e. `H_2`...