GATE ME 2021 Set 1 — Question 22
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
Superheated steam at , has a specific volume of and compressibility factor () of . The temperature of steam is ______ (round off to the nearest integer).
Correct answer
(C) 249
Solution
Using the real gas equation of state involving the compressibility factor:where:
(molar specific volume)
(Universal gas constant)Rearranging for temperature in Kelvin:Converting to Celsius:Rounding to the nearest integer, we get .
(molar specific volume)
(Universal gas constant)Rearranging for temperature in Kelvin:Converting to Celsius:Rounding to the nearest integer, we get .
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