High School

Calculate the percent concentration of each of the two agents in LOTRISONE lotion.

Each gram of LOTRISONE lotion contains:
- 0.25 grains of clotrimazole
- 0.964 mg of betamethasone dipropionate

Answer :

Final answer:

The percent concentration of clotrimazole and betamethasone dipropionate in the LOTRISONE lotion are approximately 1.62% and 0.0964% respectively.

Explanation:

From the information given, we know that 1 gram of LOTRISONE lotion contains 0.25 grains of clotrimazole and 0.964 mg of betamethasone dipropionate. The first step to find out the percent concentration of each is to convert these measurements to the same unit, that is, convert grains to milligrams (mg), as 1 grain is equivalent to 64.7989 mg.

So, 0.25 grains of clotrimazole equals 16.2 mg. Now the percentage concentration would be calculated as (milligrams of substance/milligrams total) * 100. Therefore, the percent concentration of clotrimazole in the lotion is (16.2 mg/1000mg) * 100 = 1.62%.

For betamethasone dipropionate, the percent concentration in the lotion would be (0.964 mg/1000mg) * 100 = 0.0964%.

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