I solving this problem, I have started but I don't know if I got it right

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Vanillin can be detected at a concentration of 2.0 x 10^-11 g/L in air. To determine the cost of supplying enough vanillin for detection in a 5.0 x 10^7 ft³ aircraft hangar, the volume converts to approximately 1.42 x 10^9 L. This results in a total of 2.84 x 10^-2 g of vanillin needed. The calculated cost for this amount is approximately $0.064. The discussion highlights the sensitivity of smell and the importance of accurate unit conversions in such calculations.
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Vanillin (used to flavor foods) can be detected at 2.0 x 10-11 g/L of air. If the current price of 50g of vanillin is $112, determine the cost to supply enough Vanillin so that you would be able to detect it in an aircraft hanger with a volume of 5.0 x 107ft3

What I did was 5.0x107ft3 x28.32L= 1.42x109L, then I did

2.0x10^-11*g/L 1.42 x10^9L= 2.84x10^-2 g, then


2.84x10^-2 g* $112/50g= $6.36 x10^-2 or $.064?? but it does not seem right to me. Thanks for your help
 
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Yup that looks right.
 


Nice problem. I think the point of this, in addition to making you work out how to do unit conversions and so on, is to demonstrate how incredibly sensitive your sense of smell can be.
 
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