Hello, HS,
I'm concerned about the number of conversions I needed, but here's what I did:
Use the gas law PV = nRT
n is the total number of moles of both H2 and Ar. Calculate the number of moles of Ar (0.672) and then PV. The value of PV is 24.9 L*atm. This needs to be converted to Joules, since the R value I used is expressed in J⋅K−1⋅mol−1. I used . R is
.
Calculate RT, but convert C into K, first (again, due to the R unit). Solve for n = PV/RT. I get 0.954 moles total gas. Subtract the Ar moles to arrive at 0.2828 moles H2. I see 2 sig figs in the temperature, but I'll let you decide what should be reported.
Bob