Problema Solution

the volume of a gas container at a constant temperature varies inversely as the pressure. the volume is 30 cubic centimeters at a pressure of 9 pounds. use a proportion to find the pressure when the volume is 60 cubic centimeters.

Answer provided by our tutors

y is inversely proportional to x if


y = k/x, where k is constant


the volume is 30 cubic centimeters at a pressure of 9 pounds means


30 = k/9


30*9 = k


k = 30*9


k = 270


let p represent the pressure when the volume is 60 cubic centimeters:


p = k/60


60p = k


plug k = 270 we have:


60p = 270


by solving we find:


p = 4.5 pounds


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when the volume is 60 cubic centimeters the pressure is 4.5 pounds.