Chapter 2, Problem 122A

Interpretation Introduction

Interpretation:

The cost of the platinum in 2 g of the compound needs to be determined.

Concept introduction:

Carboplatin compound sold under the trade name of Paraplatin is a chemotherapy medication. It is used for the treatment of a certain cancer including ovarian cancer, neck and head cancer, lung cancer, neuroblastoma and brain cancer.

Answer to Problem 122A

The cost of platinum found in $\text{2}\text{.00}\text{g}$ of carboplatin is $\$35.30$.

Explanation of Solution

Given information:

There is 52.5% platinum in carboplatin which si usd for the cancer treatment. The cost of platinum is $\$1047/\text{troy}\text{ounce}$. Also, one troy ounce is equal to $\text{480}\text{grains}$ and one grain is equal to $\text{64}\text{.8}\text{mg}$.

Calculation:

For the determination of cost of platinum in $\text{2}\text{.00}\text{g}$ of the given compound, follow the conversion given in the problem to convert grams (g) to dollar ($) amount.

$\begin{array}{l}\text{Cost}\text{of}\text{platinum}=\text{2}\text{.00}\text{g}\text{carboplatin}\times \left(\frac{\text{52}\text{.2}\text{g}\text{platinum}}{\text{100}\text{g}\text{carboplatinum}}\right)\times \left(\frac{\text{1}\text{mg}}{\text{0}\text{.001}\text{g}}\right)\times \\ \left(\frac{\text{1}\text{grain}}{\text{64}\text{.8}\text{mg}}\right)\times \left(\frac{\text{1}\text{troy}\text{ounce}}{\text{480}\text{grains}}\right)\times \left(\frac{\$\text{1047}\text{.00}}{\text{1}\text{troy}\text{ounce}\text{platinum}}\right)\\ =\$35.30\end{array}$

Hence, the cost of platinum found in $\text{2}\text{.00}\text{g}$ of carboplatin is $\$35.30$.

Conclusion

The cost of platinum found in $\text{2}\text{.00}\text{g}$ of carboplatinum is $\$35.30$.