Question

Platinum, Pt, is one of the rarest of the metals. Worldwide annual production is only about 130 tons. Platinum has a density of 21.4g/cm3. If thieves were to steal platinum from a bank using a small truck with a maximum payload capacity of 900 lb, how many 1 L bars of the metal could they take?(A) 19 bars(B) 2 bars(C) 42 bars(D) 1 bars(E) 47 bars

Answer 1

(A) 19 bars

Step-by-step explanation:

First off, we calculate the mass of platinum contained in one 1 L bar. To do that we convert 1 L into cm³ -1 L equals to 1000 cm³-.

21.4 g/cm³ * 1000 cm³ = 21,400 g

Each bar of platinum weighs 21,400 grams.

Now we convert the maximum payload capacity of the truck, into grams (1 lb equals to 453,592 g):

`900lb*(453,592g)/(1lb)=408232.8g`

Then we divide the weight of one bar by the maximum payload capacity:

408232.8 / 21400 =19.09

Thus the thieves could carry 19 1 L bars