The volume (V) of a gas varies inversely as the pressure (P) upon it. The volume of a gas is 200 cubic centimeters under a pressure of 32 kg per square centimeter. What will be its volume under a pressure of 20 kg per square centimeter?

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Inverse variation has the form of y=k/x. So you have the form of: 

V = k/P, plug in values of V and P to find k: 

200 = k/32 

k = 6400 

So, your formula is V = 6400/P 

V = 6400/20 

V = 320 

Answer:

320 cm^3

Explanation:

V1 = 200 cubic cm

P1 = 32 kg/cm^2

P2 = 20 kg/cm^2

V2 = ?

According to Boyle's law

P1 x V1 = P2 x V2

32 x 200 = 20 x V2

V2 = 320 cm^3