The molar heat capacities of gases are not perfectly constant, as we've assumed, but increase slowly with temperature. An empirical formula for the molar heat capacity at constant volume of nitrogen is Cv (20.6 -1.6 x 10-³T+8.0 x 10-67²) J/mol K, where T' is in K. What is the entropy increase of the gas if 5.0 g of nitrogen in a rigid container are slowly heated from 300°C to 500°C? Express your answer with the appropriate units.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
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The molar heat capacities of gases are not perfectly
constant, as we've assumed, but increase slowly with
temperature. An empirical formula for the molar heat
capacity at constant volume of nitrogen is
Cv = (20.6 - 1.6 × 10¯³T +8.0 × 10¯67²) J/mol K,
where T is in K.
What is the entropy increase of the gas if 5.0 g of nitrogen in a rigid container are slowly heated from 300°C to 500°C?
Express your answer with the appropriate units.
Transcribed Image Text:The molar heat capacities of gases are not perfectly constant, as we've assumed, but increase slowly with temperature. An empirical formula for the molar heat capacity at constant volume of nitrogen is Cv = (20.6 - 1.6 × 10¯³T +8.0 × 10¯67²) J/mol K, where T is in K. What is the entropy increase of the gas if 5.0 g of nitrogen in a rigid container are slowly heated from 300°C to 500°C? Express your answer with the appropriate units.
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