Match the List - I with List - II
| List - I | List - II | ||
|---|---|---|---|
| (A) | Pressure varies inversely with volume of an ideal gas. | (I) | Adiabatic process |
| (B) | Heat absorbed goes partly to increase internal energy and partly to do work. | (II) | Isochoric process |
| (C) | Heat is neither absorbed nor released by a system. | (III) | Isothermal process |
| (D) | No work is done on or by a gas. | (IV) | Isobaric process |
Choose the correct answer from the options given below:
Solution
<p>Let's analyze each statement step by step:</p>
<p>For (A): “Pressure varies inversely with volume of an ideal gas.”</p>
<p><p>At constant temperature (isothermal process), Boyle's law applies: </p>
<p>$PV = \text{constant}.$ </p></p>
<p><p>Thus, pressure and volume have an inverse relationship.</p></p>
<p><p>Hence, (A) corresponds to the Isothermal process, which is (III).</p></p>
<p>For (B): “Heat absorbed goes partly to increase internal energy and partly to do work.”</p>
<p><p>In a constant pressure (isobaric) process, when heat is supplied, part of it is used to do work (expansion, for example) and the rest increases the internal energy.</p></p>
<p><p>Therefore, (B) matches with the Isobaric process, which is (IV).</p></p>
<p>For (C): “Heat is neither absorbed nor released by a system.”</p>
<p><p>This implies that the process is adiabatic (no heat exchange).</p></p>
<p><p>Thus, (C) matches with the Adiabatic process, which is (I).</p></p>
<p>For (D): “No work is done on or by a gas.”</p>
<p><p>Work done by a gas is given by $W = P\Delta V.$ </p></p>
<p><p>If the volume does not change (constant volume), then no work is done.</p></p>
<p><p>So, (D) identifies with the Isochoric process, which is (II).</p></p>
<p>Putting it all together:</p>
<p><p>(A) → (III) Isothermal process</p></p>
<p><p>(B) → (IV) Isobaric process</p></p>
<p><p>(C) → (I) Adiabatic process</p></p>
<p><p>(D) → (II) Isochoric process</p></p>
<p>Thus, the correct answer is:</p>
<p>Option D </p>
<p>A-III, B-IV, C-I, D-II.</p>
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Thermodynamic Processes
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