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

Respuesta :

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.

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

[tex]\boxed{ \ density = \frac{massa}{volum} \ }[/tex]

with the symbol as follows

[tex]\boxed{ \ \rho = \frac{m}{V} \ }[/tex]

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.

[tex]\rho = \frac{m}{V} \rightarrow \boxed{ \ m = \rho \times V \ }[/tex]

[tex]Mass = 1.11 \frac{g}{cm^3} \times 387 \ cm^3[/tex]

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 .

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Answer details  

Grade : Middle School

Subject : Physics

Chapter : Units of Measurement

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

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