Home Physics Thermodynamics First Law & Enthalpy The change in the magnitude of the volume of…
Physics Thermodynamics First Law & Enthalpy Subjective Type
Published on: September 12, 2026

The change in the magnitude of the volume of an ideal gas when a small additional pressure is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity at constant pressure. The initial temperature and pressure of the gas were and atm. respectively. If then value of in is

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
C
Step 1: We know that for an ideal gas, applying the Ideal Gas Law, we have \( PV = nRT \).
Step 2: When a small change in pressure \( \Delta P \) is applied at constant temperature, we can relate the change in volume \( \Delta V \) by the following:
\( \Delta V = \frac{nR}{P} \Delta P \).
Step 3: In the second scenario, when the temperature is reduced by a small quantity \( \Delta T \) at constant pressure, we can use the relationship derived from the ideal gas law with temperature change, given:
\( |\Delta T| = C |\Delta P| \), where C is a constant.
Step 4: For constant pressure and using the same \( n \) and \( R \), this leads to: \( \Delta V = \frac{nR}{P} \Delta T = \frac{nR}{P} C \Delta P \).
Step 5: The equality of changes in volume gives us the relationship with respect to the constants, confirming the statement of the problem.
Thus, with the given values and relationships established in Step 4, we can conclude the change in volume is quantified using option (C).

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.