The specific heat of a metal at low temperatures varies according to `S = aT^3`, where a is a constant and T is absolute temperature. The heat energy needed to raise unit mass of the metal from temperature `T = 1 K` to `T = 2K` is

The specific heat of a metal at low temperature varies according to S= (4//5)T^(3) where T is the absolute temperature. Find the heat energy needed to raise unit mass of the metal from T = 1 K to T= 2K .

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

The specific heat of many solids at low temperatures varies with absolute temperature T according to the relation S=AT^(3) , where A is a constant. The heat energy required to raise the temperature of a mass m of such a solid from T = 0 to T = 20 K is

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.

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from T_(1) K to T_(2) K is :

The specific heat of a substance varies with temperature according to c =0.2 +0.16 T + 0.024 T^(2) with T in "^(@)c and c is cal//gk . Find the energy (in cal) required to raise the temp of 2g substance from 0^(@)to 5^(@)C

One mole of an ideal monatomic gas at temperature T_0 expands slowly according to the law P = kV (k is constant). If the final temperature is 4T_0 then heat supplied to gas is

The average thermal energy for a mono-atomic gas is: ( k_B is Boltzmann constant and T, absolute temperature)

One mole of an ideal gas (mono-atomic) at temperature T_0 expands slowly according to law P^2 = c T (c is constant). If final temperature is 2T_0 heat supplied to gas is:

One mole of an ideal monoatomic gas at temperature T_0 expands slowly according to the law p/V = constant. If the final temperature is 2T_0 , heat supplied to the gas is