Liquid nitrogen with a mass of 101 g at 77.3 K is stirred into a beaker containing 200 g of 7.00° C water. If the nitrogen leaves the solution as soon as it turns to gas, how much water freezes? (The latent heat of vaporization of nitrogen is 48.0 cal/g, and the latent heat of fusion of water is 79.6 cal/g.)