Problema Solution

When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 105 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 15 cubic inches.

Answer provided by our tutors

v = k/p

 

105 = k/14

105*14 = k

1470 = k

 

v = 1470/p

 

15 = 1470/p

15p = 1470

p = 98

 

pressure is 98 pounds per square inch