Chapter 6, Problem 6.1E

Calculate the volume of $125\text{g}$ of the following liquids:

a. Acetone $\left(d=0.792\text{g}/\text{mL}\right)$

b. Olive oil $\left(d=0.918\text{g}/\text{mL}\right)$

c. Chloroform $\left(d=1.49\text{g}/\text{mL}\right)$

Interpretation Introduction

(a)

Interpretation:

The volume of $\text{125}\text{g}$ of acetone is to be calculated.

Concept introduction:

Density is defined as the ratio of mass of a substance to its volume. The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Answer to Problem 6.1E

The volume of $\text{125}\text{g}$ of the acetone is $157.83\text{mL}$.

Explanation of Solution

The given mass of acetone is $125\text{g}$.

The given density of acetone is $0.792\text{g}/\text{mL}$.

The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

The above equation can be written as,

$\text{Volume}=\frac{\text{Mass}}{\text{Density}}$

Substitute the given values in the above formula.

$\begin{array}{rll}\text{Volume}& =& \frac{\text{Mass}}{\text{Density}}\\ & =& \frac{125\text{g}}{0.792\text{g}/\text{mL}}\\ & =& 157.83\text{mL}\end{array}$

Therefore, the volume of $\text{125}\text{g}$ of the acetone is $157.83\text{mL}$.

Conclusion

The volume of $\text{125}\text{g}$ of the acetone is $157.82\text{mL}$.

Interpretation Introduction

(b)

Interpretation:

The volume of $\text{125}\text{g}$ of the olive oil is to be calculated.

Concept introduction:

Density is defined as the ratio of mass of a substance to its volume. The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Answer to Problem 6.1E

The volume of $\text{125}\text{g}$ of the olive oil is $136\text{mL}$.

Explanation of Solution

The given mass of olive oil is $125\text{g}$.

The given density of olive oil is $0.918\text{g}/\text{mL}$.

The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

The above equation can be written as,

$\text{Volume}=\frac{\text{Mass}}{\text{Density}}$

Substitute the given values in the above formula.

$\begin{array}{rll}\text{Volume}& =& \frac{\text{Mass}}{\text{Density}}\\ & =& \frac{125\text{g}}{0.918\text{g}/\text{mL}}\\ & =& 136\text{mL}\end{array}$

Therefore, the volume of $\text{125}\text{g}$ of the olive oil is $136\text{mL}$.

Conclusion

The volume of $\text{125}\text{g}$ of the olive oil is $136\text{mL}$.

Interpretation Introduction

(c)

Interpretation:

The volume of $\text{125}\text{g}$ of chloroform is to be calculated.

Concept introduction:

Density is defined as the ratio of mass of a substance to its volume. The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

Answer to Problem 6.1E

The volume of $\text{125}\text{g}$ of chloroform is $157.82\text{mL}$.

Explanation of Solution

The given mass of chloroform is $125\text{g}$.

The given density of chloroform is $1.49\text{g}/\text{mL}$.

The formula to calculate density is,

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

The above equation can be written as,

$\text{Volume}=\frac{\text{Mass}}{\text{Density}}$

Substitute the given values in the above formula.

$\begin{array}{rll}\text{Volume}& =& \frac{\text{Mass}}{\text{Density}}\\ & =& \frac{125\text{g}}{1.49\text{g}/\text{mL}}\\ & =& 83.89\text{mL}\end{array}$

Therefore, the volume of $\text{125}\text{g}$ of chloroform is $83.89\text{mL}$.

Conclusion

The volume of $\text{125}\text{g}$ of chloroform is $83.89\text{mL}$.