Question

Cephalosporin, c32h42n6o13s, is an antibiotic used to treat bacterial infections. An IV solution is prepared that contains 500.0 mg of cephalosporin for every 100 ml of saline solution. The total volume of saline solution per IV bag is 1 L. How many grams of cephalosporin will be needed per bag of IV solution?

Answer 1

To calculate the grams of cephalosporin needed per bag of IV solution, we need to find the total amount of cephalosporin in 1 L of saline solution. The IV solution contains 500.0 mg of cephalosporin per 100 ml of saline solution. So, in 1 L (1000 ml) of saline solution, there would be 5 times the amount of cephalosporin. Therefore, the total amount of cephalosporin in 1 L of saline solution is 2500.0 mg. To convert this to grams, we divide by 1000: 2500.0 mg ÷ 1000 = 2.5 g.

Step-by-step explanation:

To calculate the grams of cephalosporin needed per bag of IV solution, we need to find the total amount of cephalosporin in 1 L of saline solution. The IV solution contains 500.0 mg of cephalosporin per 100 ml of saline solution. So, in 1 L (1000 ml) of saline solution, there would be 5 times the amount of cephalosporin.

Therefore, the total amount of cephalosporin in 1 L of saline solution is 5 x 500.0 mg = 2500.0 mg.

To convert this to grams, we divide by 1000: 2500.0 mg ÷ 1000 = 2.5 g.