Question

You randomly fina a brick labeled platinum! You get really excited because you look it up and find that platinum is worth $31.86 per gram.then density of platinum is 21.45 g/mL. You measure the volume and it’s 150 cm3 or 150.0mL. How much should the brick weigh if it’s is really platinum? And how much money would the brick be work

Answer 1

Step 1

Density is defined as:

D = mass of the platinum brick/volume of the platinum brick

D = m/V

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Step 2

Information provided:

D = 21.45 g/mL

V = 150.0 mL

m = unknown

Price per grams of Pt = 31.86 $/g of Pt

Symbol for platinum = Pt (please, look at the periodic table)

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Step 3

How much should the brick weigh if it’s is really platinum?

From D = m/V

=> D x V = m

=> 21.45 g/mL x 150.0 mL = 3218 g approx.

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And how much money?

3218 g of Pt x 31.86 $/g of Pt = $99,660 approx.

Answer:

3218 g

$99,660