180mg of crude benzoic acid was recrystallized in an appropriate solvent, with a percent recovery of 67%. How much benzoic acid was recovered?

180 mg x 0.67 = ?? mg.

thanx

To determine how much benzoic acid was recovered, we need to calculate the actual amount of benzoic acid using the percent recovery.

Percent recovery is calculated by dividing the actual amount of substance recovered by the theoretical amount, and then multiplying by 100.

Given that the percent recovery is 67%, we can set up the following equation:

67% = (amount recovered / 180mg) * 100

To solve for the amount recovered, we isolate the variable by rearranging the equation:

amount recovered = (67% / 100) * 180mg

Now we can perform the calculation:

amount recovered = (0.67) * 180mg

amount recovered = 120.6mg

Therefore, 120.6mg of benzoic acid was recovered.