A liquid has constant ?V = 3 × 10-4 K-1, constant ?T =2 × 10-5 MPa-1 and constant CP = 90 J/mol•K. A piston cylinder device initially contains 75 micromoles of this liquid at T = 300 K and P = 0.1 MPa, with an initial volume of 0.1 m3. This liquid is isobarically heated until its volume is 0.102 m3. What is the final temperature?
A. 306 K
B. 66 K
C. 366 K
D. 11 200 K
E. Insufficient information to solve
A. Incorrect. The temperature change is larger than this.
B. Incorrect. This is a temperature change. The final temperature must be greater than 300 K.
C. Correct.
D. Incorrect. It appears you made a mistake in taking the integral of the molar volume.
E. Incorrect. There is enough information provided. Some of it is actually not required to solve the problem. Try writing some total derivatives.
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