Thermodynamics | Heat Capacity | Calculation of Cp & Cv | Class 11th | Jay Daiya Sir

An ideal gas has a molar heat capacity at constant pressure of Cp = 2.5 R . The gas is kept in a closed vessel of volume 0.0083 m^(3) , at a temperature of 300 K and a pressure of 1.6 x 10^(6) Nm^(-2). An amount 2.49 x 10^(4) J of heat energy is supplied to the gas. calculate the final temperature and pressure of the gas.

The ratio of the molar heat capacities of an ideal gas is (C_p / C_v = 7/6) . Calculate the change in internal energy of 1.0mole of the gas when its temperature is raised by 50 K , (a) keeping the pressure constant , (b) keeping the volume constant and (c ) adiabatically.

An ideal gas expands from 100 cm^(3) to 200 cm^(3) at a constant pressure of 2.0 xx 10^(5) when 50 J of heat is supplied to it. Calculate (a) the change in internal energy of the gas , (b) the number of moles in the gas if the initial temperature is 300K , (C ) the molar heat capacity C_P at constant pressure and (d) the molar heat capacity C_v at constant volume

If a monoatomic gas undergoes a thermodynamic proces for which its molar heat capacity is equal to the universal gas constant. What is the process in terms of V and T ?

(a) Calculate the heat capacity of a copper vessel of mass 150 g if the specific heat capacity of copper is 410 J kg^(-1) K^(-1) . (b) How much heat energy will be required to increase the temperature of the vessel in part (a) from 25^@ C to 35^@ C ?

For certain process the molar heat capacity of an ideal gas is found to be (C_v+R/2) , where C_v is the molar heat capacity of the same gas at constant volume. For the given process, it can be concluded that

Molar heat capacity of gas whose molar heat capacity at constant volume is C_V , for process P = 2e^(2V) is :

In a thermodynamic process on an ideal diatomic gas, work done by the gas is eta times the heat supplied (eta lt 1) . The molar heat capacity of the gas for the process is

Calculate the speed of sound in oxygen from the following data. The mass of 22.4 litre of oxygen at STP (T = 273 K and p = 1.0 xx 10^5N m^-2) is 32 g, the molar heat capacity of oxygen at constant volume is C_V= 2.5 R and that at constant pressure is C_p = 3.5 R.

An experiment is performed to measure the molar heat capacity of a gas at constant pressure using Regnault's method. The gas is initially contained in a cubical reservoir of size 40 cm xx 40 cm xx 40 cm xx at 600 kPa at 27^0C . A part of the gas is brought out, heated to 100^0C and is passed through a calorimeter at constant pressure. The water equivalent of the calorimeter and its contents increases from 20^0C to 30^0C during the experiment and the pressure in the reservoir decresases to 525 kPa . Specific heat capacity of water = 4200 J kg^(-1) K^(1). Calculate the molar heat capacity Cp from these data.