Question

Vanillin is the substance whose aroma the human nose detectsin

the smallest amount. The threshold limit is 2.0
x10-11grams per liter of air. If the current priceof
50.0g of vanillin is $112, determine the cost to suppy
enoughvanillin so that the aroma could be detectable in a large
aircrafthangar of volume 5.0 x 107 m3.

Answer 1

$2.24

Explanation:

Given:

Threshold limit = 2.0 × 10⁻¹¹ grams per liter of air

Current price of 50.0 g vanillin = $112

Volume of aircraft hanger = 5.0 × 10⁷ m³

Now,

1 m³ = 1000 L

thus,

5.0 × 10⁷ m³ = 5.0 × 10⁷ × 1000 = 5 × 10¹⁰ L

therefore,

The mass of vanillin required = 2 × 10⁻¹¹ × 5 × 10¹⁰ = 1 g

Now,

50 grams of vanillin costs = $112

thus,

1 gram of vanillin will cost =
`\frac{\textup{112}}{\textup{50}}` = $2.24