GATE ME 2020 Set 1 — Question 28
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
For an ideal gas, a constant pressure line and a constant volume line intersect at a point, in the Temperature () versus specific entropy () diagram. is the specific heat at constant pressure and is the specific heat at constant volume. The ratio of the slopes of the constant pressure and constant volume lines at the point of intersection is
Correct answer
(D) (Cᵥ)/(Cₚ)
Solution
From the T-ds relations:
1.. For a constant pressure process (), . Thus, the slope of a constant pressure line on a diagram is .
2.. For a constant volume process (), . Thus, the slope of a constant volume line on a diagram is .
The ratio of the slopes is:Therefore, the correct option is (D).Continue learning with Success Tracker
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