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.
Draw a p-V diagram showing positive work with varying pressure.
Explain work done during a thermodynamic process.
Explain the thermodynamics of the isobaric process.
Explain thermodynamics of the adiabatic 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
When you exercise in the morning, by considering your body as a thermodynamic system, which of the following is true?
In an isochoric process, we have ____________.
Give the equation of state for an isothermal process.
Apply first law for an isobaric process.
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?
Explain in detail an adiabatic process.
Derive the work done in an adiabatic process.
Explain the isobaric process and derive the work done in this 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)
A thermodynamic system undergoes cyclic process ABCDA as shown in the figure. The work done by the system is ______
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) ____________.
Two identical samples of a gas are allowed to expand (i) isothermally (ii) adiabatically. Work done is ____________.
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 an isothermal process, the volume of an ideal gas is halved. One can say that ____________.
Assertion: Equal volumes of monatomic and polyatomic gases are adiabatically compressed separately to equal compression ratio `("P"_2/"P"_1)`. Then monatomic gas will have greater final volume.
Reason: Among ideal gases, molecules of a monatomic gas have the smallest number of degrees of freedom.
An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?
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 the figure shown here, the work done in the process ACBA is ______.
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.
In a cyclic process, if ΔU = internal energy, W = work done, Q = Heat supplied then ______.
