'n' number of liquids of masses m,2m,3m,4m, .......... having specific heats S, 2S, 3S, 4S, ...... at temperatures t, 2t, 3t, 4t, ........ are mixed. The resultant temperature of the mixture is

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

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

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.

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.

Three liquids A, B and C having same specific heat and mass m , 2 m and 3 m have temperature 20^(@)C , 40^(@)C and 60^(@)C respectively. Temperature of the mixture when: {:(,"Column-I",,"Column-II"),((A),"A and B are mixed",(p),35^(@)C),((B),"A and C are mixed",(q),52^(@)),((C),"B and C are mixed",(r),50^(@)),((D),"A,B and C all three are mixed",(s),45^(@)),(,,(t),"None"):}

Figure show two reservoirs containing two liquids of masses 4m and 2m and their specific heat capacities are S and 2S respectively. Their initial temperatures are 4T_(0) and T_(0) respectively. The containers are joined by a conducting K , length l and cross section area A specific heat capacity of the rod is negligible.

If three different liquid of different masses specific heats and temperature are mixed with each other and then what is the temperature mixture at thermal equilibrium. m_(1),s_(1),T_(1) rarr specification for liquid m_(2),s_(2),T_(2)rarr specification for liquid. m_(3),s_(3),T_(3)rarr specification for liquid.

Two perfect gases (1) and (2) are at temperatures T_(1) and T_(2) . If the number of molecules of the two gases are n_(1) and n_(2) and the masses of the molecules m_(1) and m_(2) , find the resulting temperature when the two gases are mixed. Assume that there is no loss of energy on mixing the two gases.

Two perfect gases at absolute temperature T_(1) and T_(2) are mixed. There is no loss of energy. The masses of the molecules are m_(1) and m_(2) . The number of molecules in the gases are n_(1) and n_(2) . The temperature of the mixture is

Three perfect gases at absolute temperature T_1,T_2, and T_3 are mixed. The masses of molecules are n_1,n_2 and n_3 respectively. Assuming to loss of energy, the final temperature of the mixture is: