Two vessels \( A \) and \( B \) are of the same size and are at the same temperature. Vessel \( A \) contains \( 1 \, \text{g} \) of hydrogen and vessel \( B \) contains \( 1 \, \text{g} \) of oxygen. \( P_A \) and \( P_B \) are the pressures of the gases in \( A \) and \( B \) respectively. Then \( \frac{P_A}{P_B} \) is: