A well insulated box has two compartments A and B with a conducting wall between them. 100 g of ice at 0^(@)C is kept in compartment A and 100 g of water at 100^(@)C is kept in B at time t = 0. The temperature of the two parts A and B is monitored and a graph is plotted for temperatures T_(A) and T_(B) versus time (t) [Fig. (b)]. Assume that temperature inside each compartment remains uniform. (a) Is it correct to assert that the conducting wall conducts heat at a uniform rate, irrespective of the temperature difference between A and B? (b) Find the value of time t_(1) and temperature T_(0) shown in the graph, if it is known that t_(0) = 200 s. Specific heat of ice = 0.5 cal g^(-1) .^(@)C^(-1) Specific heat of water = 1.0 cal g^(-1) .^(@)C^(-1) Latent heat of fusion of ice = 80 cal g^(-1)

A well insulated box has two compartments A and B with a conducting wa

1.	A well insulated box has two compartments A and B with a conducting wall between them. 100 g of ice at 0^(@)C is kept in compartment A and 100 g of water at 100^(@)C is kept in B at time t = 0. The temperature of the two parts A and B is monitored and a graph is plotted for temperatures T_(A) and T_(B) versus time (t) [Fig. (b)]. Assume that temperature inside each compartment remains uniform. (a) Is it correct to assert that the conducting wall conducts heat at a uniform rate, irrespective of the temperature difference between A and B? (b) Find the value of time t_(1) and temperature T_(0) shown in the graph, if it is known that t_(0) = 200 s. Specific heat of ice = 0.5 cal g^(-1) .^(@)C^(-1) Specific heat of water = 1.0 cal g^(-1) .^(@)C^(-1) Latent heat of fusion of ice = 80 cal g^(-1)
Answer» ANSWER :(a) yes , (B) `T_(0) = 13.3^(@)C, t_(1) = 217 s`