In a condenser, to check the leakage of air, the following procedure is adopted:

After running the plant to reach the steady conditions, the steam supply to the condenser and also the air and condensate pumps are shut down, thus completely isolating the condenser. The temperature and vacuum readings are noted at shut down and also after a period of 5 minutes. They are \(39^{\circ} \mathrm{C}\) and \(68.5 \mathrm{~cm} \mathrm{Hg}\); and \(28^{\circ} \mathrm{C}\) and \(27 \mathrm{~cm} \mathrm{Hg}\) respectively. The barometer reads \(75 \mathrm{~cm} \mathrm{Hg}\). The effective volume of condenser is \(1 \mathrm{~m}^{3}\). Calculate (a) the quantity of air leakage into the condenser during the period of observation, and (b) the quantity of water vapour condensed during the period.