Advertisements
Advertisements
प्रश्न
3 mole of a gas at temperature 400 K expands isothermally from an initial volume of 4 litres to a final volume of 8 litres. Find the work done by the gas. (R = 8.31 J mol-1 K-1)
Advertisements
उत्तर
Given:
n = 3 mol, T = 400 K, Vi = 4 L, Vf = 8 L, R = 8.31 J mol-1 K-1
To find: Work done by gas (W)
Formula: `"W"_"isothermal"` = nRT In`"V"_"f"/"V"_"i"`
Calculation:
From formula (i),
W = 3 × 8.31 × 400 × In`(8/4)`
Now, ln x = 2.303 × log (x)
∴ In`(8/4)` = ln (2) = 2.303 log (2)
∴ W = 1200 × 8.31 × 2.303 × 0.3010
= antilog{log(1200) + log(8.31) + log (2.303) + log(0.3010)}
= antilog{3.0792 + 0.9196 + 0.3623 + (`overline1`.4786 )}
= antilog{3.8397}
= 6.913 × 103 J
= 6.913 kJ
Work done by the gas is 6.913 kJ.
APPEARS IN
संबंधित प्रश्न
Give an example of some familiar process in which heat is added to an object, without changing its temperature.
Answer in brief.
Why should a Carnot cycle have two isothermal two adiabatic processes?
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?
Draw a p-V diagram showing positive work at constant pressure.
State the assumptions made for thermodynamic processes.
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 thermodynamics of the adiabatic process.
When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is ____________.
In an isochoric process, we have ____________.
Give the equation of state for an isothermal process.
Apply first law for an adiabatic process.
Apply first law for an isobaric process.
Give the equation of state for an adiabatic process.
Draw the PV diagram for the isobaric process.
What is meant by a reversible and irreversible processes?
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?
Derive the work done in an isothermal process.
Derive the work done in an adiabatic process.
Explain in detail the isochoric 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.
Among the amount of heat absorbed and the amount of work done by a system, ______
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 ____________.
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")`
When an inflated ballon is suddenly burst, why is the emerging air slightly cooled?
