Vanillin (used to flavor vanilla ice cream and other foods) is the substance whose aroma the human nose detects in the smallest amount. The threshold limit is 2.0 × 10−11 g per liter of air. If the current price of 50.0 g of vanillin is $115, determine the cost to supply enough vanillin so that the aroma could be detected in a large aircraft hangar with a volume of 5.47 × 107 ft3.

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Answer:

[tex]\boxed{\text{\$0.07}}[/tex]

Explanation:

1. Convert cubic feet to litres

[tex]V =5.47 \times 10^{7} \text{ ft}^{3} \times \dfrac{\text{28.32 L}}{\text{1 ft}^{3}} = 1.549 \times 10^{9}\text{ L}[/tex]

2. Calculate the mass of vanillin

[tex]m = 1.549 \times 10^{9}\text{ L} \times \dfrac{2.0 \times 10^{-11}\text{ g}}{\text{1 L}} = \text{0.030 98 g}[/tex]

3. Calculate the cost of the vanillin

[tex]\text{Cost} = \text{0.03098 g} \times \dfrac{\textbf{\$115 }}{\text{50.0 g}} = \text{\$0.07}\\\text{The cost of the vanillin is $\boxed{\textbf{\$0.07}}$}[/tex]

The cost of the Vanillin is $0.07.

What is vanillin used for?

it is utilized in flavorings, foods, perfumes, and pharmaceuticals. Vanillin is used as a chemical intermediate in the manufacture of several essential pills and different merchandise. Human publicity to vanillin is through dermal contact with perfumes and ingestion of meal products that consist of vanillin as a flavor additive.

Is vanillin dangerous for your fitness?

Vanillin is thought to release numerous substances whilst burnt. these consist of polycyclic fragrant hydrocarbons, that have been classed as human cancer-causing agents through the global corporation for studies on most cancers.

Learn more about Vanillin here: https://brainly.com/question/19338507

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