Advertisements
Advertisements
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
Advertisements
उत्तर १
Total work done by the gas from D to E to F = Area of ΔDEF
Area of ΔDEF =`1/2DExxEF`
Where,
DF = Change in pressure
= 600 N/m2 – 300 N/m2
= 300 N/m2
FE = Change in volume
= 5.0 m3 – 2.0 m3
= 3.0 m3
Area of ΔDEF =`1/2xx300xx3` = 450 J
Therefore, the total work done by the gas from D to E to F is 450 J.
उत्तर २
As is clear figure
Change in pressure, `triangle P = EF = 5.0 - 2.0 = 3.0 atm = 3.0 xx 10^5 Nm^(-2)`
Change in volume. triangle V = DF = 600 - 300 = 300 cc
= `300 xx 10^(-6) m^3`
Work done by the gas from D to E to F = area of `triangle DEF`
`W =1/2 xx DF xx EF`
`= 1/2 xx (300 xx 10^(-6)) xx (3.0 xx 10^5) = 45 J`
APPEARS IN
संबंधित प्रश्न
Answer in brief.
Why should a Carnot cycle have two isothermal two adiabatic processes?
For work done to be reversible, the process should be ______
Heating a gas in a constant volume container is an example of which process?
Draw a p-V diagram of the reversible process.
Draw a p-V diagram of the irreversible process.
State the assumptions made for thermodynamic processes.
When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is ____________.
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 adiabatic process.
What is meant by a reversible and irreversible processes?
Explain in detail an adiabatic process.
Derive the work done in an adiabatic 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.
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
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
- the work done by the gas
- change in internal energy of the gas
- graph this process in PV and TV diagram
An ideal gas is expanded isothermally from volume V1 to volume V2 and then compressed adiabatically to original volume V1. If the initial pressure is P1, the final pressure is P3 and net work done is W, then ____________.
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")`
Explain the thermodynamic process.
Explain how can a gas be expanded at constant temperature.
