Answer: The mass of hydrogen gas for the given number of molecules is 13.4 g
Explanation:
We are given:
Number of hydrogen gas molecules = [tex]40.34\times 10^{23}[/tex]
At STP conditions:
[tex]6.022\times 10^{23}[/tex] number of molecules are contained in 1 mole of a gas.
So, [tex]40.34\times 10^{23}[/tex] number of molecules will be contained in = [tex]\frac{1}{6.022\times 10^{23}}\times 40.34\times 10^{23}=6.7mol[/tex] of hydrogen gas.
To calculate the mass of hydrogen gas, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Moles of hydrogen gas = 6.7 moles
Molar mass of hydrogen gas = 2 g/mol
Putting values in above equation, we get:
[tex]6.7mol=\frac{\text{Mass of hydrogen gas}}{2g/mol}\\\\\text{Mass of hydrogen gas}=13.4g[/tex]
Hence, the mass of hydrogen gas for the given number of molecules is 13.4 g
