A mass `m_1` of a substance of specific heat capacity `c_1` at temperature `t_1` is mixed with a mass `m_2` of other substance of specific heat capacity `c_2` at a lower temperature `t_2`. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.

The specific heat of an ideal gas varies with temperature T as

A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2 c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is

What mass of a liquid A of specific heat capacity 0.84 J g^(-1) K^(-1) at a temperature 40^@ C must be mixed with 100 g of a liquid B of specific heat capacity 2.1 J g^(-1) K^(-1) at 20^@ C, so that the final temperature of mixture becomes 32^@ C ?

Three liquids with masses m_1 , m_2 , m_3 are throughly mixed. If their specific heats are c_1 , c_2 , c_3 and their temperature T_1 , T_2 , T_3 , respectively, then the temperature of the mixture is

Which one of the following substances has highest specific heat capacity at room temperature and atmospheric pressure ? a) Water b) Ice c) Aluminum d) Mercury

Equal volumes of three liquids of densities rho_1 , rho_2 and rho_3 , specific heat capacities c_1,c_2 and c_3 and temperatures t_1,t_2 and t_3 , respectively are mixed together. What is the temperature of the mixture? Assume no changes in volume on mixing.

Write the expression for the heat energy Q received by m kg of a substance of specific heat capacity c J kg^(-1)K^(-1) when it is heated through Deltat^@ C.

In variation of specific heat capcity of a substance with temperature is given by C =A + BT ^(2) , where A and B are constnts and T is the temperature, Calculate the mean specific heat in a temperature range T = 0 to T =T and the specific heat at the mid-point T//2.

A solid copper sphere of density rho , specific heat c and radius r is at temperature T_1 . It is suspended inside a chamber whose walls are at temperature 0K . What is the time required for the temperature of sphere to drop to T_2 ? Take the emmissivity of the sphere to be equal to e.

A substance is in the solid form at 0^@ C. The amount of heat added to this substance and its temperature are plotted in the following graph. If the relative specific heat capacity of the solid substance is 0.5, find from the graph (i) the mass of the substance, (ii) the specific latent heat of the melting process and (ii) the specific heat of the substance in the liquid state. Specific heat capacity of water =1000 cal//kg//K