Question

Ethylene glycol (antifreeze) has a density of 1.11 g/cm3. What is the mass in grams of 387 mL of ethylene glycol?

Answer 1

The mass in grams of 387 mL of ethylene glycol is 429.57 grams.

Further explanation

In Greek letters the density is expressed in letters ρ (read: rho) and is defined as the mass of the substance divided by its volume. The formula that states the relationship between them is

$\boxed{ \ density = \frac{massa}{volum} \ }$

with the symbol as follows

$\boxed{ \ \rho = \frac{m}{V} \ }$

Based on the formula, the standar units of density are kg/m³ or g/cm³.

Objects with identical types will allow the same density. Therefore it can be noted that density is one of the characteristics of a substance because it provides a specified value.

Since we have presented that

• volume of ethylene glycol (V) = 387 mL
• because 1 mL = 1 cm³ then 387 mL = 387 cm³
• density of ethylene glycol (ρ) = 1.11 g/cm³

We need finding the mass (m) in grams of 387 mL ethylene glycol.

The formula can be rearranged to calculate the mass of an object.

$\rho = \frac{m}{V} \rightarrow \boxed{ \ m = \rho \times V \ }$

$Mass = 1.11 \frac{g}{cm^3} \times 387 \ cm^3$

If all other units are crossed out, generating the desired unit is grams, that means the problem is set in the correct dimensions

Mass = 429.57 grams

Hence, the mass of 387 mL ethylene glycol is 429.57 grams.

Note that density is

• always constant
• can be used as a conversion factor
• can be used to identify an unknown hypothetical substance  
• varies from element to element and substance to substance  
• can be measured for all substances, solids, liquids, and gases.

How tight or heavy an object can be observed by comparing its density .

Learn more

1. What represent the density of a 36 g object with a volume of 15 cm³? brainly.com/question/751226
2. What is the mass, in grams, of a liquid containing a density of 1.50 g/ml and a volume of 3.50 liters? brainly.com/question/11893252
3. Metal has a mass of 8.7 grams and a volume of 3.2 mL. Is it metal gold? brainly.com/question/12761926

Answer details  

Grade : Middle School

Subject : Physics

Chapter : Units of Measurement

Keywords : density, ethylene glycol, antifreeze, mass, grams, g/cm³, volume, mL, units, substance  

Answer 2

Multiply the volume by the density. 1 ml = 1 cm^3

1.11 g/cm^3 * 1 cm^3/mL * 386 mL = 428 g

All your units cancel out except for g which is what you would expect since you want units of mass.