We use a steel cylinder with a cross-sectional area of 0.0290 m² and containing 1.24 x 10¬2m³ of liquid methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.99 × 10ª N. The temperature of the system is increased from 20.9 °C to 50.6 °C. For methanol, the coefficient of volume expansion is B = 1.20 × 10¬³K-', the density is p = 791 kg/ m³, and the specific heat at constant pressure is cp the steel cylinder. %3D = 2.51 × 10 J/kg. We will ignore the expansion of a. What is the increase in volume of the methanol AV? x 10-4m3 b. What is the mechanical work done by the methanol against the 3.99 × 10ª N force? J c. What is the amount of heat added to the methanol? x 105J

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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We use a steel cylinder with a cross-sectional area of 0.0290 m² and containing 1.24 × 10-2m³ of liquid
methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.99 x 10° N. The
temperature of the system is increased from 20.9 °C to 50.6 °C.
For methanol, the coefficient of volume expansion is B
m³, and the specific heat at constant pressure is C,
the steel cylinder.
1.20 x 10-3K-', the density is p = 791 kg/
2.51 x 10° J/kg. We will ignore the expansion of
||
a. What is the increase in volume of the methanol AV?
x 10-4m3
b. What is the mechanical work done by the methanol against the 3.99 x 104 N force?
c. What is the amount of heat added to the methanol?
х 10°J
d. What is the change in internal energy of the methanol?
x 105J
e. Is there a substantial difference between the specific heat capacities at constant pressure and at
constant volume for methanol under these conditions? Make sure to explain in your hand-written
submission.
yes
no
Transcribed Image Text:We use a steel cylinder with a cross-sectional area of 0.0290 m² and containing 1.24 × 10-2m³ of liquid methanol. The cylinder is equipped with a tightly fitting piston that supports a load of 3.99 x 10° N. The temperature of the system is increased from 20.9 °C to 50.6 °C. For methanol, the coefficient of volume expansion is B m³, and the specific heat at constant pressure is C, the steel cylinder. 1.20 x 10-3K-', the density is p = 791 kg/ 2.51 x 10° J/kg. We will ignore the expansion of || a. What is the increase in volume of the methanol AV? x 10-4m3 b. What is the mechanical work done by the methanol against the 3.99 x 104 N force? c. What is the amount of heat added to the methanol? х 10°J d. What is the change in internal energy of the methanol? x 105J e. Is there a substantial difference between the specific heat capacities at constant pressure and at constant volume for methanol under these conditions? Make sure to explain in your hand-written submission. yes no
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