thermodynmic process and work done questions with solutions

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• MCQeasyThermodyanmicsthermodynmic process and work done

  The pressure of an ideal gas in a closed rigid vessel increases by 0.4% when its temperature is raised by 1°C. Its initial temperature is:

  Options

  • Option A

    250°C

  • Option B

    25°C

  • Option C

    250 K

  • Option D

    2500 K

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  JEE Mains 2025 3 April Evening Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  The volume of an ideal gas increases 8 times and temperature becomes (1/4)th of initial temperature during a reversible change. If there is no exchange of heat in this process (ΔQ = 0) then identify the gas from the following options (Assuming the gases given in the options are ideal gases) :

  Options

  • Option A

    CO₂

  • Option B

    O₂

  • Option C

    NH₃

  • Option D

    He

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  JEE Mains 202622 January Morning Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  An ideal gas initially has pressure P₀ and volume V₀. It is suddenly compressed to volume V₀/4. If γ is the ratio of specific heats, the final pressure is:

  Options

  • Option A

    P₀·4¹ᐟᵞ

  • Option B

    4P₀

  • Option C

    P₀

  • Option D

    P₀·4ᵞ

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  13 April 2023 Evening Shift

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• MCQeasyThermodyanmicsthermodynmic process and work done

  In an adiabatic process of a closed ideal-gas system, work done by the gas depends explicitly on:

  Options

  • Option A

    Change in volume

  • Option B

    Change in pressure

  • Option C

    Change in temperature

  • Option D

    Change in number of moles

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  JEE Mains 2025 29 Jan Morning Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  A cylinder with adiabatic walls is closed at both ends and divided into two compartments by a frictionless adiabatic piston. Initially, both compartments contain the same ideal gas at the same pressure P, volume 9 litres and temperature T. Heat is supplied only to the left compartment until the common pressure becomes 27P/8. For the gas, Cₚ/Cᵥ = 1.5. What is the final volume of the gas in the right-hand compartment?

  Options

  • Option A

    3 litres

  • Option B

    4 litres

  • Option C

    14 litres

  • Option D

    9 litres

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  JEE Mains 2026 6 April Evening Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  A real gas within a closed chamber at 27°C undergoes the cyclic process as shown in figure. The gas obeys PV³ = RT equation for the path A to B. The net work done in the complete cycle is (assuming R = 8 J/mol K):

  

  Options

  • Option A

    225 J

  • Option B

    205 J

  • Option C

    20 J

  • Option D

    -20 J

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  JEE Mains 2024 09 Apr Evening Shift

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• Multi-correctmediumThermodyanmicsthermodynmic process and work done

  A quasi-static cycle of a monoatomic ideal gas contains an isothermal process (ab), followed by an isochoric process (bc) and an adiabatic process (ca) as shown in the figure. The volumes of the gas are V₁ and V₂ at a and b, respectively. If the cycle has heat input Q(in) and output Q(out), then the efficiency of the cycle is defined as η = [Q(in) - Q(out)]/Q(in). The correct statement(s) is/are: [Given: ln2 ≈ 0.7]

  

  Select all that apply

  • Option A

    If V₂/V₁ = 8, the heat released in the process bc is smaller than the heat absorbed in the process ab.

  • Option B

    For a given value of V₂/V₁, η does not depend on the temperature of the isothermal process.

  • Option C

    If V₂/V₁ = 8, then the temperature of the gas at a is 4 times the temperature of the gas at c.

  • Option D

    If V₂/V₁ = 8, then the pressure of the gas at a is 4 times the pressure of the gas at b.

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  JEE Advanced2026Paper 1

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• MCQmediumThermodyanmicsthermodynmic process and work done

  An ideal gas at pressure P and temperature T expands in such a way that PT³ remains constant throughout the process. What is the coefficient of volume expansion, defined along this process as β = (1 /V)(dV /dT)?

  Options

  • Option A

    2 / T

  • Option B

    1 /T

  • Option C

    4 /T

  • Option D

    3 / T

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  JEE Mains 2026 5 April Evening Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  A sample of gas at temperature T is adiabatically expanded to double its volume. Adiabatic constant for the gas is γ = 3/2. The work done by the gas in the process is: (μ = 1 mole)

  Options

  • Option A

    RT(2 - √2)

  • Option B

    RT(1 - √2)

  • Option C

    RT(√2 - 1)

  • Option D

    RT(2 - √2)

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  JEE Mains 2024 04 Apr Evening Shift

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• MCQmediumThermodyanmicsthermodynmic process and work done

  A piston of mass M is attached to a massless spring whose restoring force is F = -kx³. The piston separates a vertical chamber into two parts, and the lower part contains n moles of an ideal gas. The spring is initially at its natural length. The gas is heated isothermally at temperature T so that the piston rises from height L₀ to L₁. The total energy supplied by the heating filament is:

  

  Options

  • Option A

    nRT ln(L₁²/L₀²) + (Mg/2)(L₁-L₀) + (k/4)(L₁⁴-L₀⁴)

  • Option B

    nRT ln(L₁/L₀) + Mg(L₁-L₀) + (k/4)(L₁⁴-L₀⁴)

  • Option C

    3nRT ln(L₁/L₀) + 2Mg(L₁-L₀) + (k/3)(L₁³-L₀³)

  • Option D

    nRT ln(L₁/L₀) + Mg(L₁-L₀) + (3k/4)(L₁⁴-L₀⁴)

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  JEE Mains 2025 3 April Morning Shift

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