Chapter 2, Problem 21E

Interpretation Introduction

(a)

Interpretation:

The given metric-English conversion is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 21E

The given metric-English conversion for $\text{25}\text{cm}$ to $\text{in}\text{.}$ is $9.84\text{in}\text{.}$

Explanation of Solution

The relation between inch and centimeter is given below as,

$\text{1}\text{in}\text{.}=2.54\text{cm}$

Thus, the conversion of $\text{25}\text{cm}$ into $\text{in}\text{.}$ can be done using the above relation as,

$\begin{array}{rll}\text{1}\text{in}\text{.}& =& 2.54\text{cm}\\ 1\text{cm}& =& \frac{\text{1}\text{in}\text{.}}{2.54\text{cm}}\\ \text{25}\text{cm}& =& \frac{\text{1}\text{in}\text{.}}{2.54\text{cm}}\times \text{25}\text{cm}\\ & =& 9.84\text{in}\text{.}\end{array}$

Conclusion

The given metric-English conversion for $\text{25}\text{cm}$ to $\text{in}\text{.}$ is $9.84\text{in}\text{.}$

Interpretation Introduction

(b)

Interpretation:

The given metric-English conversion is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 21E

The given metric-English conversion for $\text{25}\text{g}$ to $\text{lb}$ is $0.055\text{lb}$.

Explanation of Solution

The relation between $\text{g}$ and $\text{lb}$ is given below as,

$\text{1}\text{lb}=\text{454}\text{g}$

Thus, the conversion of $\text{25}\text{g}$ into $\text{lb}$ can be done using the above relation as,

$\begin{array}{rll}\text{1}\text{lb}& =& \text{454}\text{g}\\ 1\text{g}& =& \frac{\text{1}\text{lb}}{\text{454}\text{g}}\\ \text{25}\text{g}& =& \frac{\text{1}\text{lb}}{\text{454}\text{g}}\times \text{25}\text{g}\\ & =& 0.055\text{lb}\end{array}$

Conclusion

The given metric-English conversion for $\text{25}\text{g}$ to $\text{lb}$ is $0.055\text{lb}$.

Interpretation Introduction

(c)

Interpretation:

The given metric-English conversion is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 21E

The given metric-English conversion for $2.50\text{qt}$ to $\text{mL}$ is $2365\text{mL}$.

Explanation of Solution

The relation between $\text{mL}$ and $\text{qt}$ is given below as,

$\text{1}\text{qt}=\text{946}\text{mL}$

Thus, the conversion of $2.50\text{qt}$ into $\text{mL}$ can be done using the above relation as,

$\begin{array}{rll}\text{1}\text{qt}& =& \text{946}\text{mL}\\ 2.50\text{qt}& =& \frac{\text{946}\text{mL}}{\text{1}\text{qt}}\times 2.50\text{qt}\\ & =& 2365\text{mL}\end{array}$

Conclusion

The given metric-English conversion for $2.50\text{qt}$ to $\text{mL}$ is $2365\text{mL}$.

Interpretation Introduction

(d)

Interpretation:

The given metric-English conversion is to be stated.

Concept introduction:

The metric system unit is the unit system which is accepted as the standard system of unit internationally. The nonmetric units are the common unit system which is not standard for the parameter to be calculated. The unit factors are calculated by taking the ratio of two equivalent measurement systems and these are used in unit conversions. The English unit system is common in United States and therefore it is used in the conversion factors.

Answer to Problem 21E

The given metric-English conversion for $2.50\text{sec}$ to $\text{s}$ is $2.50\text{s}$.

Explanation of Solution

“ $\text{sec}$” is the unit denoting seconds in the English system for the measurement of time. The English system of units can be converted to the metric system of units by using the equivalent factors. The seconds in the metric system of units are denoted by $\text{s}$. Thus, the relation $\text{sec}$ and $\text{s}$ is given below as,

$\text{1}\text{sec}=\text{1}\text{s}$

Hence, $2.50\text{sec}$ can be converted to $\text{s}$ using the above relation as,

$\begin{array}{rll}\text{1}\text{sec}& =& \text{1}\text{s}\\ 2.50\text{sec}& =& \frac{\text{1}\text{s}}{\text{1}\text{sec}}\times 2.50\text{sec}\\ & =& 2.50\text{s}\end{array}$

Conclusion

The given metric-English conversion for $2.50\text{sec}$ to $\text{s}$ is $2.50\text{s}$.