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5. A chemical engineer is studying the properties of liquid methanol, using a steel cylinder with a cross-sectional area of 0.0200 m2 , which contains 1.20x 10-2m3of methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.00x 104 N. The temperature of the system is increased from 20.0 C to 50.0 C. For methanol, the coefficient of volume expansion is 1.20x 10-3K-1, the density is 791 kg/m³, and the specific heat capacity at constant pressure is c, = 2.51 x 10³J/kg.K. You can ignore the expansion of the steel cylinder. Find (a) the increase in volume of the methanol (b) the mechanical work done by the methanol against the 3.00x 104 N force (c) the amount of heat added to the methanol (d) the change in internal energy of the methanol (e) Based on your results, explain whether there is any substantial difference between the specific heats (at constant pressure) and c, (at constant volume) for methanol under these conditions.

5. A chemical engineer is studying the properties of liquid methanol, using a steel cylinder with a cross-sectional area of 0.0200 m2 , which contains 1.20x 10-2m3of methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.00x 104 N. The temperature of the system is increased from 20.0 C to 50.0 C. For methanol, the coefficient of volume expansion is 1.20x 10-3K-1, the density is 791 kg/m³, and the specific heat capacity at constant pressure is c, = 2.51 x 10³J/kg.K. You can ignore the expansion of the steel cylinder. Find (a) the increase in volume of the methanol (b) the mechanical work done by the methanol against the 3.00x 104 N force (c) the amount of heat added to the methanol (d) the change in internal energy of the methanol (e) Based on your results, explain whether there is any substantial difference between the specific heats (at constant pressure) and c, (at constant volume) for methanol under these conditions.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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5. A chemical engineer is studying the properties of liquid methanol, using a steel cylinder with a cross-sectional area of 0.0200 m² , which contains 1.20x 10-2m³of methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.00× 10* N. The temperature of the system is increased from 20.0 C to 50.0 C. For methanol, the coefficient of volume expansion is 1.20x 10-3K-1, the density is 791 kg/m³, and the specific heat capacity at constant pressure is c, = 2.51 x 10³J/kg.K. You can ignore the expansion of the steel cylinder. Find (a) the increase in volume of the methanol (b) the mechanical work done by the methanol against the 3.00× 104 N force (c) the amount of heat added to the methanol (d) the change in internal energy of the methanol (e) Based on your results, explain whether there is any substantial difference between the specific heats (at constant pressure) and c, (at constant volume) for methanol under these conditions.
Transcribed Image Text:5. A chemical engineer is studying the properties of liquid methanol, using a steel cylinder with a cross-sectional area of 0.0200 m² , which contains 1.20x 10-2m³of methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.00× 10* N. The temperature of the system is increased from 20.0 C to 50.0 C. For methanol, the coefficient of volume expansion is 1.20x 10-3K-1, the density is 791 kg/m³, and the specific heat capacity at constant pressure is c, = 2.51 x 10³J/kg.K. You can ignore the expansion of the steel cylinder. Find (a) the increase in volume of the methanol (b) the mechanical work done by the methanol against the 3.00× 104 N force (c) the amount of heat added to the methanol (d) the change in internal energy of the methanol (e) Based on your results, explain whether there is any substantial difference between the specific heats (at constant pressure) and c, (at constant volume) for methanol under these conditions.
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