The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches under a pressure of 14 pounds per square inch, what will be its volume if the pressure is increased to 19 pounds per square inch? (Round off your answer to the nearest cubic inch.)
Let v be the volume of the gas and p be the pressure on the gas. We know that v varies inversely with p, so we can write the equation v = k/p, where k is a constant.
We know that when v = 180 cubic inches, p = 14 pounds per square inch. Substituting these values into the equation, we get 180 = k/14.
Solving for k, we find that k = 2520.
Now we can use the value of k to find v when p = 19 pounds per square inch. Substituting into the equation, we get v = 2520/19.
Rounding to the nearest cubic inch, v is approximately 132.