The mass of H2 is 2.62x10^-3 g.
To calculate the mass of H2 we can use the Ideal Gas formula:
[tex]P\mathrm{}V=n\mathrm{}R\mathrm{}T[/tex]
P is the pressure of the gas (atm).
V is the volumen of the gas (L).
n is the number of moles of the gas.
R is the gas constant (0.082 atm.L/mol.K)
T is the temperature of the gas (K).
- First, we need to assume that the pressure is 1 atm, as this information is not given. Then, we have to do the units change so that everything is in the units of the R constant (atm.L/mol.K).
In this case:
P = 1 atm
V= 0.0331 L
T = 308 K
- Second, the number of moles can be calculated from the Ideal Gas formula:m
[tex]\begin{gathered} PV=nRT \\ n=\frac{P\mathrm{}V}{R\mathrm{}T} \\ n=\frac{1atm.0.0331L}{0.082\frac{\text{atm}\mathrm{}L}{\text{mol}\mathrm{}L}.308K} \\ n=1.31x10^{-3}\text{mol} \end{gathered}[/tex]
So far, we know that there are 1.31x10^-3 moles of H2.
- Finally, we can calculate the H2 mass from its the molar mass and a mathematical Rule of Three:
[tex]\begin{gathered} 1\text{ mol\_\_\_\_\_\_\_\_\_\_\_ 2g} \\ 1.31x10^{-3}mol\text{\_\_\_\_\_\_ x= }\frac{1.31x10^{-3}mol.2g}{1\text{mol}}_{}_{}_{}_{} \\ x=2.62x10^{-3\text{ }}g \end{gathered}[/tex]
So, the mass of H2 is 2.62x10^-3 g.
