Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Chemistry
Chapter
Thermodynamics (C)

AIIMS 2018 · 27 May · Chemistry · Thermodynamics (C)

1 mole of an ideal gas expands isothermally reversibly from 2 litre...

1 mole of an ideal gas expands isothermally reversibly from 2 litre to 4 litre and 3 moles of the same gas expands from 2 litre to xx litre and doing same work, what is ' xx '?

Options

  1. A(8)1/3(8)^{1 / 3}
  2. B(4)2/3(4)^{2 / 3}
  3. C22
  4. D44

Correct answer

B. (4)2/3(4)^{2 / 3}

Step-by-step solution

 w=nRTln⁡V2V1RTln⁡42=3RTln⁡x2ln⁡2=ln⁡(x2)3x3=16⇒x=(16)13=423\begin{aligned} & \text{ } w=n R T \ln \frac{V_2}{V_1} \\ & R T \ln \frac{4}{2}=3 R T \ln \frac{x}{2} \\ & \ln 2=\ln \left(\frac{x}{2}\right)^3 \\ & x^3=16 \Rightarrow x=(16)^{\frac{1}{3}}=4^{\frac{2}{3}}\end{aligned}
Practice Thermodynamics (C) on Quantrex Academy →

More from Thermodynamics (C)

A certain organic solvent has Δ H\_vap = 28.50\ kJ mol^ -1 and Δ S\_vap = 88.2\ J K^ -1 \… MHT CET Medical 2026Which of the following statements regarding spontaneous process is NOT true? MHT CET Medical 2026Calculate Δ H for a reaction, 2X_ (g) + Y_ (g) arrow 2Z_ (g) at 298 K if Δ U = -10.5 kJ… MHT CET Medical 2026500\ mL of nitrogen gas and 750\ mL hydrogen gas were allowed to react at 1\ bar pressure… MHT CET Medical 2026The relationship between Δ H and Δ U for the reaction, PCl_3(g) + Cl_2(g) arrow PCl_5(g)… MHT CET Medical 2026What would be the heat released in kJ when 450\ cm^3 of 0.02\ M\ H_2SO_4 is mixed with… MHT CET Medical 2026Identify from following reactions that it takes place with Δ H = Δ U . MHT CET Medical 2026Calculate the work done in the following reaction at 300\ K , A(g) + B(g) = 2C(g) [R =… MHT CET Medical 2026 Full Thermodynamics (C) list All AIIMS PYQs