A drug is available in 100mg/mL. The patient needs 0,75 g of the drug. How many mL should be administered.

7.5 ml

Step-by-step explanation:

A drug is available in 100mg/mL.

This means, there is

100mg of the drug in 1 ml

100mg = 1 ml

Step 1

We convert 100mg to g

1 mg = 0.001 g

100 mg = x

Hence,

x = 100 × 0.001g

x = 0.1 g

Hence,

We have 0.1g in 1 ml

Step 2

The patient needs 0.75 g of the drug. How many mL should be administered?

From step 1, we know that:

0.1g = 1 ml

0.75g = x

Cross Multiply

0.1g × x = 0.75g × 1 ml

x = 0.75g × 1 ml/0.1g

x = 7.5 ml

Therefore, 7.5 ml should be administered to the patient.