Advertisements
Advertisements
рдкреНрд░рд╢реНрди
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 ЁЭЫ╛ = 1.4)
Advertisements
рдЙрддреНрддрд░
Given:
Vi = 2 L, Vf = `("V"_"i")/10 ⇒ ("V"_"i")/("V"_"f") = 10, "P"_"i" = 1.01 xx 10^5` Pa, γ = 1.4
To find: Final pressure (pf)
Formula: For adiabatic process: `"p"_"f" "V"_"f"^γ = "p"_"i""V"_"i"^γ`
Calculation:
From formula,
pf = pi × `("V"_"i"/"V"_"f")^γ`
= 1.01 × 105 × (10)1.4
= antilog {log (1.01) + 1.4 × log (10)} × 105
= antilog {0.0043 + (1.4 × 1)} × 105
= antilog {1.4043} × 105
= 2.537 × 106 = 25.37 × 105 Pa
The final pressure (pf) is 25.37 × 105 Pa
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
Explain why The climate of a harbour town is more temperate than that of a town in a desert at the same latitude.
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?
What is a thermodynamic process?
Draw a p-V diagram of the irreversible process.
Draw a p-V diagram showing negative work with varying pressure.
State the assumptions made for thermodynamic processes.
Write a note on free expansion.
Explain the thermodynamics of the isobaric process.
Explain the thermodynamics of the isochoric process.
When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is ____________.
Apply first law for an isothermal process.
Apply first law for an isobaric process.
Give an equation state for an isochoric 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.
What is a cyclic process?
Explain in detail an adiabatic 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 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 ____________.
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) ____________.
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")`
Consider P-V diagram for an ideal gas shown in figure.
Out of the following diagrams (figure), which represents the T-P diagram?
 (i) |
 (ii) |
 (iii) |
 (iv) |
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.
When an inflated ballon is suddenly burst, why is the emerging air slightly cooled?
Explain how can a gas be expanded at constant temperature.
