The warm source of a Carnot cycle has a temperature off 100 C, while the cold source consists of melting ice. When the cycle operates for 1 hour it is observed that 1 metric ton of ice has melted. Calculate (a) the heat absorbed in the cycle from the warm source and (b) the heat given away in the cycle to the cold source. The latent heat of fusion at 100 C is 0.3337 x 10^6 J/kg.