Chapter 10, Problem 59A

(a)

Interpretation Introduction

Interpretation:

The $\Delta E$ for the system is to be calculated.

Concept Introduction :

The change in the energy is calculated by the formula as shown below:

  $\Delta E=q+w$

Answer to Problem 59A

The $\Delta E$ for the system is $41\text{kJ}$ .

Explanation of Solution

The given value of heat is $-47\text{kJ}$ .

The given value of work done is $\text{+88}\text{kJ}$ .

Substitute the given value of heat and work done in the above formula.

  $\begin{array}{c}\Delta E=q+w\\ =-47\text{kJ}+\text{88}\text{kJ}\\ =41\text{kJ}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The $\Delta E$ for the system is to be calculated.

Concept Introduction :

The change in the energy is calculated by the formula as shown below:

  $\Delta E=q+w$

Answer to Problem 59A

The $\Delta E$ for the system is $+129\text{kJ}$ .

Explanation of Solution

The given value of heat is $+82\text{kJ}$ .

The given value of work done is $+47\text{kJ}$ .

Substitute the given value of heat and work done in the above formula.

  $\begin{array}{c}\Delta E=q+w\\ =+82\text{kJ}+\text{47}\text{kJ}\\ \text{=}+129\text{kJ}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The $\Delta E$ for the system is to be calculated.

Concept Introduction :

The change in the energy is calculated by the formula as shown below:

  $\Delta E=q+w$

Answer to Problem 59A

The $\Delta E$ for the system is $47\text{kJ}$ .

Explanation of Solution

The given value of heat is $+47\text{kJ}$ .

The given value of work done is $0$ .

Substitute the given value of heat and work done in the above formula.

  $\begin{array}{c}\Delta E=q+w\\ =+47\text{kJ}+\text{0}\\ =47\text{kJ}\end{array}$

(d)

Interpretation Introduction

Interpretation:

The option in which work is done on the system is to be stated.

Concept Introduction :

The change in the energy is calculated by the formula as shown below:

  $\Delta E=q+w$

Answer to Problem 59A

The option (a) and (b) are the systems in which work is done on the system.

Explanation of Solution

In option (a) and (b) the work done value is positive. The negative sign of work done indicates that the work is done by the system, whereas the positive sign indicates work is done on the system.

Therefore, the option (a) and (b) are the systems in which work is done on the system.