One Mole of Hydrogen Gas And $\frac{1}{2}$ Mole of Helium Gas Are Mixed in a Container and Gas

Multiple Choice

One mole of hydrogen gas and $\frac{1}{2}$ mole of helium gas are mixed in a container and maintained at a fixed temperature $T$ . How does the total pressure $P_{\mathrm{H}}$ exerted by the hydrogen molecules compare to the total pressure $P_{\mathrm{He}}$ exerted by the helium molecules? Note that a molecule (atom) of helium has twice the mass of an $\mathrm{H}_{2}$ molecule.

A) $P_{\mathrm{H}}=2 P_{\mathrm{He}}$
B) $P_{\mathrm{H}}=\sqrt{2} P_{\mathrm{He}}$
C) $P_{\mathrm{H}}=P_{\mathrm{He}}$
D) $P_{\mathrm{H}}=\sqrt{\frac{1}{2}} P_{\mathrm{He}}$
E) $P_{\mathrm{H}}=\frac{1}{2} P_{\mathrm{He}}$
F) Other (specify)