Can anyone please help me solve this short chemistry calculation?
It takes 2.4×10^-9 gram per liter of the air freshener to cover up the smell — the sensitivity of the nose to the air freshener product, which costs $127 per 5 g. The teacher measures the size of classroom and finds it to be 6.50×104 ft^3.
What is the minimum cost in cents of the air freshener that the teacher must buy so that we can have class?
Express your answer to the actual whole number of cents that the teacher would have to spend.
I’ll appreciate any help. Please answer anytime you feel like it.
Favorite Answer
one cubic foot is equal to 28.32 liters, so, converting that:
6.50 x 10^4 ft^3 x (28.32 liters / 1 ft^3) = 1.84 x 10^6 liters
now, all you have to do is multiply the mass per liter to the volume, and multiply the product to the price per gram.
it looks like this:
1.84 x 10^6 liters x 2.4 x 10^-9 grams/liter = 4.41 x 10^-3 grams
since the price is $127 per 5 g, we can write that as ($127/5 g).
4.41 x 10^-3 grams x ($127/5 g) = $ 0.11
the teacher has to spend 11 cents.
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