Chapter 15, Problem 15.6EAA

To determine

a)

The correct form of $0.0000546\frac{kW}{K}$ without using a decimal point.

Answer to Problem 15.6EAA

$546\times {10}^{-7}\frac{kW}{K}$.

Explanation of Solution

$0.0000546\frac{kW}{K}$ can be written as $0.0000001\times 546\frac{kW}{K}$.

Calculation:

$\begin{array}{l}0.0000001=\frac{1}{10000000}=\frac{1}{{10}^7}={10}^{-7}\\ \therefore 0.0000001\times 546\frac{kW}{K}={10}^{-7}\times 546\frac{kW}{K}\end{array}$.

Conclusion:

The correct form of $0.0000546\frac{kW}{K}$ without using a decimal point is $546\times {10}^{-7}\frac{kW}{K}$.

To determine

b)

The correct form of $65.3207\frac{kH}{kg}$ without using a decimal point.

Answer to Problem 15.6EAA

$653207\times {10}^{-4}\frac{kH}{kg}$.

Explanation of Solution

$65.3207\frac{kH}{kg}$ can be written as $0.0001\times 653207\frac{kH}{kg}$.

Calculation:

$\begin{array}{l}0.0001=\frac{1}{10000}=\frac{1}{{10}^4}={10}^{-4}\\ \therefore 0.0001\times 653207\frac{kH}{kg}=653207\times {10}^{-4}\frac{kH}{kg}\end{array}$.

Conclusion:

The correct form of $65.3207\frac{kH}{kg}$ without using a decimal point is $653207\times {10}^{-4}\frac{kH}{kg}$.

To determine

c)

The correct form of $54.6367\times {10}^{-6}\frac{MF}{kg}$ without using a decimal point.

Answer to Problem 15.6EAA

$546367\times {10}^{-10}\frac{MF}{kg}$.

Explanation of Solution

$54.6367\times {10}^{-6}\frac{MF}{kg}$ can be written as $0.0001\times 546367\times {10}^{-6}\frac{MF}{kg}$.

Calculation:

$\begin{array}{l}0.0001=\frac{1}{10000}=\frac{1}{{10}^4}={10}^{-4}\\ \therefore 0.0001\times 546367\times {10}^{-6}\frac{MF}{kg}=546367\times {10}^{-4}\times {10}^{-6}\frac{MF}{kg}\end{array}$.

We know,

$\begin{array}{l}{x}^a\times x^b=x^{(a+b)}\\ So,{10}^{-4}\times {10}^{-6}={10}^{-10}\\ \therefore 546367\times {10}^{-4}\times {10}^{-6}\frac{MF}{kg}=546367\times {10}^{-10}\frac{MF}{kg}\end{array}$.

Conclusion:

The correct form of $54.6367\times {10}^{-6}\frac{MF}{kg}$ without using a decimal point is $546367\times {10}^{-10}\frac{MF}{kg}$.