Answer :
Answer:
The correct answer is 0.089 g/L ≅ 0.09 g/L
Explanation:
Density is defined as: mass/volume.
From the problem we have:
number of moles = n = 3 mol
volume = V = 67.20 L
We have to calculate the mass. For this, we need the molar mass (MM) of the gas. That is easily calculated from the molar mass of the element hydrogen (H), as we know that hydrogen gas has the molecular formula H₂:
MM(H₂) = 2 x molar mass H = 2 x 1 g/mol = 2 g/mol
Now, we multiply n by MM to obtain the mass (m) of the gas:
m = n x MM(H₂) = 3 mol x 2 g/mol = 6 g
Finally, we calculate the density from the mass and volume:
density = m/V = 6 g/(67.20) = 0.089 g/L ≅ 0.09 g/L