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AP EAMCET · PHYSICS · Thermodynamics

A gas is compressed from a volume of \(2 \mathrm{~m}^3\) to a volume of \(1 \mathrm{~m}^3\) at a constant pressure of \(100 \mathrm{Nm}^{-2}\). Then it is heated at constant volume by supplying \(150 \mathrm{~J}\) of energy. As a result, the internal energy of the gas

  1. A increase by \(250 \mathrm{~J}\)
  2. B decrease by \(250 \mathrm{~J}\)
  3. C decrease by \(50 \mathrm{~J}\)
  4. D increase by \(50 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) increase by \(250 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Since, gas is compressed from \(2 \mathrm{~m}^3\) to \(\mathrm{lm}^3\). Hence, work done on the gas is negative. \(W=-p \Delta V=-100(2-1)=-100 \mathrm{~J}\) Since, heat supplied, \(Q=150 \mathrm{~J}\) Hence, according to first law of thermodynamics,…
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