GATE ME 2014 Set 3 — Question 51
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
A certain amount of an ideal gas is initially at a pressure and temperature . First, it undergoes a constant pressure process 1-2 such that . Then, it undergoes a constant volume process 2-3 such that . The ratio of the final volume to the initial volume of the ideal gas is
Correct answer
(B) 0.75
Solution
Step 1: Process 1-2 is a constant pressure (isobaric) process.
According to Charles's Law:
Given , we find :Step 2: Process 2-3 is a constant volume (isochoric) process.
Therefore, .The ratio of the final volume () to the initial volume () is:Thus, the correct option is (B).
According to Charles's Law:
Given , we find :Step 2: Process 2-3 is a constant volume (isochoric) process.
Therefore, .The ratio of the final volume () to the initial volume () is:Thus, the correct option is (B).
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