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TS EAMCET · Physics · Thermodynamics

Two moles of a gas is expanded to double its volume by two different processes. One is isobaric and the other is isothermal. If \(W_1\) and \(W_2\) are the works done, respectively then

  1. A \(W_2=\frac{W_1}{\log e^2}\)
  2. B \(W_2=W_1\)
  3. C \(W_2=W_1\) loge \(e^2\)
  4. D \(W_2=W_1 \log _e(2)\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(W_2=W_1 \log _e(2)\)

Step-by-step Solution

Detailed explanation

Given, In the first condition, work done \(=W_1\) In the second condition, work done \(=W_2\) Now, according to the question, In the first condition, or, \[ \begin{aligned} & W_1=p(2 V-V) \\ & W_1=p V \end{aligned} \] In the second condition,…