Chapter 5, Problem 16A

Interpretation Introduction

Interpretation: The closest value to the 2 L of the volume needs to be determined.

Concept Introduction: In metric system, meter, liter, and gram are used as common units of length, capacity, and weight respectively. In this system, fractions of a unit or multiples of a unit can be expressed by powers of 10.

Answer to Problem 16A

The 2-L volume is closest to $2\text{qt}$ . Therefore, the correct answer is option d.

Explanation of Solution

Convert $2\text{qt}$ into L as follows:

The conversion factor used to convert qt into L is as follows:

  $\frac{0.9463\text{L}}{1\text{qt}}$

Thus,

  $\begin{array}{c}1\text{quart}\left(\text{qt}\right)=0.9463\text{L}\\ \text{2}\text{qt}=\text{2}\text{qt}\times \frac{0.9463\text{L}}{1\text{qt}}\\ =1.8926\text{L}\end{array}$

Therefore, volume of 2-L is closest to $2\text{qt}$ .

Conclusion

In option a, convert gal into L as follows:

The conversion factor is $\frac{3.78541\text{L}}{1\text{gal}}$ to convert gallon into L.

Therefore, 5 gal can be converted to L as follows:

  $\frac{3.78541\text{L}}{1\text{gal}}\times 5\text{gal}=18.927\text{L}$

This value is greater than 2-L. Hence, this option is incorrect.

In option b, convert 1 qt into L as follows:

The conversion factor is $\frac{0.9463\text{L}}{1\text{qt}}$ to convert qt into L.

  $1\text{quart}\left(\text{qt}\right)=0.9463\text{L}$

Hence, this value is not closer to 2-L. Hence, option b is not correct.

In option c, convert 2 pt into L as follows:

The conversion factor to convert 1pint (pt) into L is $\frac{1\text{L}}{2.113376\text{pt}}$ .

Hence,

  $\frac{1\text{L}}{2.113376\text{pt}}\times 2\text{pt}=0.96\text{L}$

Therefore, this value is not closest to 2 L. Hence, option c is not correct.