Thermodynamics Question 312

Question: The molar heat capacity of a certain substance varies with temperature according to the given equation, C=27.2+(4×103)T. The heat necessary to change the temperature of 2 mol. of the substance from 300K to 700K is

Options:

A) 3.46×104J

B) 2.33×103J

C) 12×105

D) 2.33×104J

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Initial temperature, Ti=300K;

Final temperature, Tf=700K

Q=300700nCdT=3007002×(27.2+4×103×T)dT

=[54.4T+4×103T2]300700=2.33×104J



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