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.