(Solved): 7. Calculate the pressure exerted by \( 1.0 \mathrm{~mol} \) of \( \mathrm{H}_{2} \mathrm{O} \) gas ...

7. Calculate the pressure exerted by \( 1.0 \mathrm{~mol} \) of \( \mathrm{H}_{2} \mathrm{O} \) gas at \( 50 \mathrm{~K} \) occupying a volume of 30 L under the following conditions a. Assuming \( \mathrm{H}_{2} \mathrm{O} \) behaves as a perfect gas. b. Assuming the \( \mathrm{H}_{2} \mathrm{O} \) behaves as a van der Waals gas. (van der Waals coefficients for \( \left.\mathrm{H}_{2} \mathrm{O}: \mathrm{a}=5.464 \mathrm{~atm} \mathrm{dm}^{6} \mathrm{~mol}^{-2}, \mathrm{~b}=3.05 \times 10^{-2} \mathrm{dm}^{3} \mathrm{~mol}^{-1}\right) \). Recall: \( 1 \mathrm{dm}^{3}=1 \mathrm{~L} \) c. Calculate the compression factor for \( \mathrm{H}_{2} \mathrm{O} \) gas behaving as a van der Waals gas.