Q1. Basic calculation of the First law (2') (a) Suppose that 150 kJ of work are used to compress a spring, and that 25 kJ of heat are given off by the spring during this compression. What is the change in internal energy of the spring during the process? (b) Suppose that 100 kJ of work is done by a motor, but it also gives off 10 kJ of heat while carrying out this work. What is the change in internal energy of the motor during the process?

Question

Simeon Roberts

Engineering

2 June, 00:33

Q1. Basic calculation of the First law (2') (a) Suppose that 150 kJ of work are used to compress a spring, and that 25 kJ of heat are given off by the spring during this compression. What is the change in internal energy of the spring during the process? (b) Suppose that 100 kJ of work is done by a motor, but it also gives off 10 kJ of heat while carrying out this work. What is the change in internal energy of the motor during the process?

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Answers (1)

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Barkley · Answer 1

(a) ΔU = 125 kJ

(b) ΔU = - 110 kJ

Explanation:

(a) Suppose that 150 kJ of work are used to compress a spring, and that 25 kJ of heat are given off by the spring during this compression. What is the change in internal energy of the spring during the process?

The work is done to the system so w = 150 kJ.

The heat is released by the system so q = - 25 kJ.

The change in internal energy (ΔU) is:

ΔU = q + w

ΔU = - 25 kJ + 150 kJ = 125 kJ

(b) Suppose that 100 kJ of work is done by a motor, but it also gives off 10 kJ of heat while carrying out this work. What is the change in internal energy of the motor during the process?

The work is done by the system so w = - 100 kJ.

The heat is released by the system so q = - 10 kJ.

The change in internal energy (ΔU) is:

ΔU = q + w

ΔU = - 10 kJ - 100 kJ = - 110 kJ