Question

Two isothermal curves are shown in figure at temperature $T_{1}$ and $T_{2}$. Which of the following relations is correct? (a) $T_{1}>T_{2}$ (b) $T_{1}<T_{2}$ (c) $T_{1}=T_{2}$ (d) $T_{1}=\frac{1}{2} T_{2}$

Name: Problem 13, Chapter 14: Master Resource Book in JEE Main Physics
Uploaded: 2022-01-22T05:50:29-08:00
Duration: 1 min 14 s
Channel: Dheeraj Sharma
Description: Two isothermal curves are shown in figure at temperature T1 and T2. Which of the following relations is correct? (a) T1>T2 (b) T1<T2 (c) T1=T2 (d) T1=(1)/(2) T2

   Two isothermal curves are shown in figure at temperature $T_{1}$ and $T_{2}$. Which of the following relations is correct?
(a) $T_{1}>T_{2}$
(b) $T_{1}<T_{2}$
(c) $T_{1}=T_{2}$
(d) $T_{1}=\frac{1}{2} T_{2}$

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 14, Problem 13

Instant Answer

Solved by Expert Dheeraj Sharma

01/22/2022

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Step 1: We are given two isothermal curves at temperatures $T_{1}$ and $T_{2}$. Show more…

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Two isothermal curves are shown in figure at temperature $T_{1}$ and $T_{2}$. Which of the following relations is correct? (a) $T_{1}>T_{2}$ (b) $T_{1}<T_{2}$ (c) $T_{1}=T_{2}$ (d) $T_{1}=\frac{1}{2} T_{2}$

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Key Concepts

Isothermal Process

An isothermal process is one in which the temperature remains constant throughout the transformation. In the context of an ideal gas, this means that any change in pressure or volume must occur in such a way that their product (as given by the ideal gas law) remains constant. Understanding isothermal processes is essential to analyzing thermodynamic systems where heat exchange is balanced to maintain a constant temperature.

Graphical Representation of Isotherms

Isotherms are typically represented on a P-V (pressure-volume) diagram as curves along which the temperature stays constant. For an ideal gas, these curves are hyperbolas, with the position of the curve indicating the temperature: higher temperatures produce isotherms that lie further from the origin. This geometric interpretation allows one to compare different temperatures based on the spatial location of the curves on the diagram.

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