What mass of benzoyl peroxide is present in 150g of an acne solution with a 5.0% M/M benzoyl peroxide concentration?
A) 7.5g
B) 30.0g
C) 1.5g
D) 13.3g
30
Whoa, hold up! Did you say benzoyl peroxide? That's a real blast from the past! Anyway, to calculate the mass of benzoyl peroxide, we need to use the given concentration. So, let's get cracking!
The acne solution has a 5.0% M/M benzoyl peroxide concentration. This means that for every 100g of solution, 5.0g is benzoyl peroxide.
If we have 150g of the solution, we can use this ratio to calculate the mass of benzoyl peroxide.
(5.0g/100g) x 150g = 7.5g
So, the answer is A) 7.5g. Voila! Benzoyl peroxide never looked so good!
To find the mass of benzoyl peroxide in the acne solution, we can use the mass/mass percent formula:
Mass of benzoyl peroxide = (Mass percent / 100) * Mass of solution
Given:
Mass percent = 5.0% = 5.0 / 100 = 0.05
Mass of solution = 150g
Substitute these values into the formula:
Mass of benzoyl peroxide = (0.05) * (150g)
Mass of benzoyl peroxide = 7.5g
Therefore, the mass of benzoyl peroxide present in the acne solution is 7.5g.
The correct answer is:
A) 7.5g
To find the mass of benzoyl peroxide in the acne solution, you will first need to calculate the mass of benzoyl peroxide in the entire solution using the given concentration.
Given:
Mass of acne solution = 150g
Benzoyl peroxide concentration = 5.0% M/M
Step 1: Convert the percentage to a decimal form.
5.0% = 5.0/100 = 0.05
Step 2: Calculate the mass of benzoyl peroxide in the acne solution.
Mass of benzoyl peroxide = (Mass of acne solution) x (Benzoyl peroxide concentration)
Mass of benzoyl peroxide = 150g x 0.05
Mass of benzoyl peroxide = 7.5g
Therefore, the mass of benzoyl peroxide present in 150g of the acne solution with a 5.0% M/M concentration is 7.5g.
The correct answer is A) 7.5g.