If the density of Platinum is 21.45G cm3 How much space would 107.25G take up?

Answer 1

As you know the density (21.45g/cm³) and the volume (225.0cm³) - the mass is just the density multiplied by the volume:

21.45 * 225 = 4826.25g = 4.8kg

However the density of platinum varies slightly depending on the concentration of other Platinum family metals, like Rhodium and Palladium

Answer 2

You can use dimensional analysis (see http://www.allmathwords.org/en/d/dimensionalanalysis.html) to solve this problem. The dimensions of density is g cm-3. The dimensions of mass is g. The dimensions of space is cm3.

1. Use the dimensions to put the information into an equation. Use the variable s to represent the space occupied. 21.45 g cm-3 = 107.25 g / s cm3. Since the dimensions on both sides of the equal sign are the same, the equation is likely to be correct.

2. Remove the dimensions to make the equation easier to understand. 21.45 = 107.25 / s.

2. Now solve the equation for s.

3. Use the multiplicative property of equality to multiply both sides of the equation by s: 21.45 s = 107.25 s/ s.

4. Since s / s =1, 21.45s = 107.25.

5. Used the multiplicative property of equality to multiply both sides by the reciprocol of 21.45, 1/21.45. So, 21.45 / 21.45 s = 107.25 / 21.45.

6. Simplify the division. s = 5.

7. Now add the dimensions back in. The dimensions of space s is cm3. So s = 5 cm3. Put in words, 107.25 grams of platinum at a density of 21.45 g cm-3 takes up 5 cm3.