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
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
Give an example of some familiar process in which heat is added to an object, without changing its temperature.
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?
Heating a gas in a constant volume container is an example of which process?
Draw a p-V diagram of the irreversible process.
Draw a p-V diagram showing positive work at constant pressure.
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 the thermodynamics of the isochoric process.
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
Apply first law for an isothermal 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)
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
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,
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 ____________.
In which of the following processes, beat is neither absorbed nor released by a system?
An ideal gas A and a real gas B have their volumes increased from V to 2V under isothermal conditions. The increase in internal energy ____________.
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.
When an inflated ballon is suddenly burst, why is the emerging air slightly cooled?
In a cyclic process, if ΔU = internal energy, W = work done, Q = Heat supplied then ______.
