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Titanium has a density of 4.5g/cm find the volume of a 90g sample

PLEASE HELP ME​

2 Answers

4 votes

Step-1) Identifying the clues given

In this step, let's identify the clues provided in the questions. We have:

  • Mass of sample: 90 grams
  • Density of sample: 4.5 g/cm³
  • To find: The volume of titanium

Since we know the mass and density of titanium, we can apply the density formula to determine the volume of titanium.

Footnote: I have included the formula in case if you need to know it.


\boxed{\text{Density} = \frac{\text{Mass (Grams)}}{\text{Volume (cm}^(3) \text{)} }} }

Step-2) Substituting the given clues into the Density formula

To work out the volume of the titanium, we need to substitute the given clues from the question, into the formula. We have:


\text{Density} = \frac{\text{Mass (Grams)}}{\text{Volume (cm}^(3) \text{)} }} }

When we substitute the mass and the density of titanium, we have:


4.5 \ \text{g/cm}^(3)} = \frac{\text{90 grams}}{\text{Volume (cm}^(3) \text{)} }} }

Step-3) Simplify and solve for volume

Finally, let's simplify the equation.


4.5 \ \text{g/cm}^(3)} = \frac{\text{90 grams}}{\text{Volume (cm}^(3) \text{)} }} }


1 \ \text{g/cm}^(3)} = \frac{\text{20 grams}}{\text{Volume (cm}^(3) \text{)} }} }


\text{Volume (cm}^(3)) = \frac{\text{20 grams}}{\text{1 g/cm} ^(3) }


\text{Volume (cm}^(3)) = \frac{\text{20 grams}}{\text{1 g/cm} ^(3) } = \frac{20 \ \text{grams} \ * 1 \ \text{cm}^(3) }{1 \ \text{grams}} = \boxed{20 \ \text{cm}^(3)}

Therefore, the volume of titanium is 20 cm³.

User Boffin
by
3.7k points
4 votes

Answer:

20cm^3

Explanation:

Divide 90 by 4.5.

90/4.5 = 20

We can multiply the density ratio by this quotient in order to find the volume of a sample 20x the size of the ratio's sample.

(4.5 x 20)/(1cm^3 x 20)
90g/20cm^3

User Auberon
by
3.3k points