Question

A patient is given a solution containing 0.625 g of calcium carbonate. If the calcium carbonate solution contains 1250 mg per 5 mL, how many milliliters of the solution were given to the patient?

Answer 1

Answer: 2.5 mL

Step-by-step explanation:

Given : A patient is given a solution containing 0.625 g of calcium carbonate.

i.e. Patient required calcium carbonate = 625 mg  [∵ 1 g = 1000 mg]

Let x be the amount of solution ( in millimeters) given to the patients.

Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =$\dfrac{625}{x}$

If the calcium carbonate solution contains 1250 mg per 5 mL,

Then, Ratio of amount of calcium carbonate to amount of solution =$\dfrac{1250}{5}$

By using proportion we have :-

$\dfrac{625}{x}=\dfrac{1250}{5}\\\\\Rightarropw\ x=\dfrac{5\times625}{1250}=2.5$

Hence, 2.5 mL solution were given to the patient.