Specific Heat Capacity

How much steam at ${100}^{\circ }\mathrm{C}$ is to be passed into water of mass $100 \mathrm{g}$ at ${20}^{\circ }\mathrm{C}$ to raise its temperature by $5^{\circ }\mathrm{C}$? (Latent heat of steam is $540 \mathrm{cal}/\mathrm{g}$ and specific heat of water is $1 \mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }\mathrm{C}^{-1}$)

Five moles of hydrogen when heated through $20 \mathrm{K}$ expand by an amount of $8.3\times {10}^{-3} {\mathrm{m}}^3$ under a constant pressure of ${10}^5 \mathrm{N}/{\mathrm{m}}^2$. If $C_v=20 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$, find $C_p$.

Derive a relation between the two specific heat capacities of gas on the basis of first law of thermodynamics.

Define two principal specific heats of a gas. Which is greater and why?

The coolant in a chemical or nuclear plant should have high specific heat. Why?

Define molar specific heat capacity.

Indicate the graph showing the variation of specific heat of water with temperature. What does it signify?

For a solid, what is the total energy of an oscillator?

Define the specific heat capacity of the substance. On what factors does it depend?

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following :

(c) What is the change in the temperature of the gas?
 

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains a gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following 

(b) What is the change in internal energy of the gas?

Explain why

(c) Air pressure in a car tyre increases during driving.

Explain why
(b) The coolant in a chemical or a nuclear plant (i.e., the liquid used to prevent the different parts of a plant from getting too hot) should have high specific heat.

Two cylinders A and B of equal capacity are connected to each other via a stopcock. A contains gas at standard temperature and pressure. B is completely evacuated. The entire system is thermally insulated. The stopcock is suddenly opened. Answer the following :
(a) What is the final pressure of the gas in A and B?

 

Explain why

(a) Two bodies at different temperatures T₁ and T₂ if brought in thermal contact do
not necessarily settle to the mean temperature (T₁ + T₂ )/2.

What amount of heat must be supplied to $2.0 \times {10}^{-2} \mathrm{kg}$ of nitrogen

(at room temperature) to raise its temperature by 45 °C at constant pressure ? (Molecular mass of N₂ = 28; R = 8.3 J mol–1 K–1)