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Vanyuwa [196]
3 years ago
8

A drop of gasoline has a mass of 22 mg and a density of 0.754 g/cm3. What is its volume in cubic centimeters?

Chemistry
2 answers:
Viktor [21]3 years ago
6 0

The volume of gasoline (in cubic centimeters) is \boxed{0.029\;\text{cm}^3}.

Further Explanation:

Density is defined as the mass of the substance per unit volume of the substance. It is denoted by \rho. It is generally expressed in the units of grams per cubic centimeter (\text{g/cm}^3). The formula to calculate the density of a substance is as follows:

\rho=\dfrac{\text{M}}{\text{V}}  

Here,

\rho is the density of the substance.

M is the mass of the substance.

V is the volume of the substance.

The formula to calculate the density of gasoline is as follows:

\text{Denstiy of gasoline}=\dfrac{\text{Mass of gasoline}}{\text{Volume of gasoline}}                                                             …… (1)

Rearrange equation (2) to calculate the volume of gasoline.

\text{volume of gasoline}=\dfrac{\text{Mass of gasoline}}{\text{Density of gasoline}}             …… (2)                                              

The mass of gasoline is 22 mg. This is to be converted into g. The conversion factor for this is,

1\;\text{mg}=10^{-3}\text{g}  

Therefore the mass of gasoline can be calculated as follows:

 \begin{aligned}{\text{Mass of gasoline}}&= \left( {22{\text{ mg}}} \right)\left( {\frac{{{{10}^{ - 3}}{\text{ g}}}}{{1{\text{ mg}}}}} \right)\\&= 0.022{\text{ g}} \\ \end{aligned}

The mass of gasoline is 0.022 g.

The density of gasoline is 0.754\;\text{g/cm}^3.

Substitute these values in equation (2).

 \begin{aligned}\text{Volume of gasoline}&=\frac{0.022\;\text{g}}{0.754\;\text{cm}^3}\\&=0.029\text{cm}^3\\\end{aligned}

Therefore the volume of gasoline is 0.029\;\text{cm}^3.

Learn more:

  1. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: brainly.com/question/3064603
  2. Calculate the moles of ions in the solution: brainly.com/question/5950133

Answer details:

Grade: Middle School

Chapter: Density

Subject: Chemistry

Keywords: density, mass, volume, 22 mg, 0.022 g, 0.029 cm^3, volume of gasoline, mass of gasoline, density of gasoline, 0.754 \;\text{g/cm}^3, g, conversion factor.

andrew11 [14]3 years ago
4 0

<em><u>Answer:</u></em>

volume = 0.029 cm³

<em><u>Explanation:</u></em>

<u>We are given that:</u>

mass = 22 mg

<u>We know that:</u>

1 mg = 0.001 grams

<u>This means that:</u>

mass = 22 mg = 0.022 grams

<u>We are also given that:</u>

density = 0.754 g/cm³

<u>Density is calculated using the following rule:</u>

Density=\frac{mass}{volume}

<u>Rewrite the equation to solve for volume:</u>

volume = \frac{mass}{density}

<u>Now, substitute with the values we have:</u>

volume = \frac{0.022}{0.754} = 0.029 cm^3

Hope this helps :)

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