Advertisements
Advertisements
Question
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
Solution 1
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.
Solution 2
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
RELATED QUESTIONS
An ideal gas is taken through an isothermal process. If it does 2000 J of work on its environment, how much heat is added to it?
What is a thermodynamic process?
Draw a p-V diagram of the reversible process.
Draw a p-V diagram showing positive work at constant pressure.
Explain graphically (i) positive work with varying pressure, (ii) negative work with varying pressure, and (iii) positive work at constant pressure.
Explain thermodynamics of the adiabatic process.
Draw the PV diagram for the isothermal process.
Draw the PV diagram for the adiabatic process.
Draw the PV diagram for the isobaric 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
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 ____________.
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,
For an isothermal expansion of a perfect gas, the value of `(Delta "P")/"P"` is equal to ____________.
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 the thermodynamic process.
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 ______.
