An experiment takes 10 minutes to raise the temperature of water in a container from $0^{\circ}C$ to $100^{\circ}$ and another 55 minutes to convert it totally into steam by a heater supplying heat at a uniform rate . Neglecting the specific heat at a container and taking specific heat of water to be $1\;cal/g^{\circ}C$, the heat of vaporization according to this experiment will come out to be :