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You'll use these two equations:

Ideal Gas Law: P=pRT

(where P=pressure, p=density, R=gas constant, T=temperature)

and also conservation of mass/energy principle:

sum of mass flow rate in=sum of mass flow rate out

and since

m=pvA

(where m=mass flow rate, p=density, v=velocity, and A=cross-sectional area) you can write

pvA(in)=pvA(out)

Using these 2 equations you should be able to solve the problem.

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Q: If air is blown through the larger end of a cone how do you calculate what the pressure of the air exiting the smaller end will be?
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