Advertisements
Advertisements
प्रश्न
Explain the thermodynamics of the isochoric process.
Advertisements
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
For work done to be reversible, the process should be ______
What is a thermodynamic process?
An ideal gas of volume 2 L is adiabatically compressed to (1/10)th of its initial volume. Its initial pressure is 1.01 x 105 Pa, calculate the final pressure. (Given 𝛾 = 1.4)
Explain graphically (i) positive work with varying pressure, (ii) negative work with varying pressure, and (iii) positive work at constant pressure.
Explain the thermodynamics of the isobaric process.
Explain thermodynamics of the adiabatic process.
When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is ____________.
When food is cooked in a vessel by keeping the lid closed, after some time the steam pushes the lid outward. By considering the steam as a thermodynamic system, then in the cooking process
The V-T diagram of an ideal gas which goes through a reversible cycle A→B→C→D is shown below. (Processes D→A and B→C are adiabatic)
The corresponding PV diagram for the process is (all figures are schematic)
In an isochoric process, we have ____________.
Give the equation of state for an isothermal process.
Apply first law for an isothermal process.
Draw the PV diagram for the isothermal process.
Draw the PV diagram for the isobaric process.
What is a cyclic process?
Explain in detail the isothermal process.
Derive the work done in an isothermal process.
Derive the work done in an adiabatic process.
Draw the TP diagram (P-x axis, T-y axis), VT(T-x axis, V-y axis) diagram for
- Isochoric process
- Isothermal process
- Isobaric process
In an adiabatic expansion of the air, the volume is increased by 4%, what is the percentage change in pressure? (For air γ = 1.4)
An ideal gas is taken in a cyclic process as shown in the figure. Calculate
- work done by the gas
- work done on the gas
- Net work done in the process
An ideal gas is made to go from a state A to stale B in the given two different ways (see figure) (i) an isobaric and then an isochoric process and (ii) an isochoric and then an isobaric process. The work done by gas in the two processes are W1 and W2 respectively. Then,
One mole of an ideal gas with `gamma` = 1.4 is adiabatically compressed so that its temperature rises from 27° C to 47° C. The change in the internal energy of the gas is (R = 8.3 J/mol.K) ____________.
Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is ____________.
Assertion: Equal volumes of monatomic and polyatomic gases are adiabatically compressed separately to equal compression ratio `("P"_2/"P"_1)`. Then monatomic gas will have greater final volume.
Reason: Among ideal gases, molecules of a monatomic gas have the smallest number of degrees of freedom.
An ideal gas is taken through a cyclic process ABCDA as shown in figure. The net work done by the gas during the cycle is ______.
Explain how can a gas be expanded at constant temperature.
In a cyclic process, if ΔU = internal energy, W = work done, Q = Heat supplied then ______.
