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प्रश्न
Explain the thermodynamics of the isochoric process.
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उत्तर
- A thermodynamic process in which the volume of the system is kept constant is called the isochoric process.
- A system does no work in its environment during an isochoric process.
- For an isochoric process, ΔV = 0, and from the first law of thermodynamics, ΔU = Q.
- The temperature of the system changes, i.e., ΔT ≠ 0.
- This means that for an isochoric change, all the energy added in the form of heat remains in the system itself and causes an increase in its internal energy. Also, as volume is unchanged, no work is done.
- The first law of thermodynamics for the isochoric process is, Q = ΔU ….(1)
The change in internal energy is given by,
ΔU = nCVΔT ….(2)
The work done is given by,
W = pΔV = 0 ….(∵ ΔV = 0)
From equations (1) and (2),
The heat exchanged is given by,
Q = ΔU = nCVΔT - p-V diagram of isochoric process is as shown below:
संबंधित प्रश्न
A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in Figure
Its volume is then reduced to the original value from E to F by an isobaric process. Calculate the total work done by the gas from D to E to F
Answer in brief.
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Explain the cyclic process.
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Give an expression for work done in an isothermal process.
What is a cyclic process?
Can the given heat energy be completely converted to work in a cyclic process? If not, when can the heat can completely converted to work?
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Draw the TP diagram (P-x axis, T-y axis), VT(T-x axis, V-y axis) diagram for
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- Isothermal process
- Isobaric process
Consider the following cyclic process consist of isotherm, isochoric and isobar which is given in the figure.
Draw the same cyclic process qualitatively in the V-T diagram where T is taken along the x-direction and V is taken along the y-direction. Analyze the nature of heat exchange in each process.
For a given ideal gas 6 × 105 J heat energy is supplied and the volume of gas is increased from 4 m3 to 6 m3 at atmospheric pressure. Calculate
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- change in internal energy of the gas
- graph this process in PV and TV diagram
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Reason: Among ideal gases, molecules of a monatomic gas have the smallest number of degrees of freedom.
Ideal gas for which 'ϒ' = 1.5 is suddenly compressed to `1/4`th of its initial volume. The ratio of 4 the final pressure to the initial pressure is ______.
`(ϒ = "C"_"p"/"C"_"v")`
Consider P-V diagram for an ideal gas shown in figure.
Out of the following diagrams (figure), which represents the T-P diagram?
 (i) |
 (ii) |
 (iii) |
 (iv) |
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In a certain thermodynamical process, the pressure of a gas depends on its volume as kV3. The work done when the temperature changes from 100°C to 300°C will be ______ nR, where n denotes number of moles of a gas.
Explain how can a gas be expanded at constant temperature.
