A Carnot engine having a perfect gas gas the working substance is driven backwards and is used for freezing water already at 0 C. If the engine is driven by 500 W electric motor with an efficiency of 60% how long will it take to freeze 15 kg of water? The working temps of the engine are 15 C and 0 C. The system involves no energy losses. Given latent heat of ice =333×10^(3)J kg^(-1).