# If the temperature is constant the pressure of a gas in a container varies inversely as the volume of the? container. if the pressure is 60 pounds per square foot in a container with 3 cubic feet, what is the pressure in a container with 4.5 cubic feet?

Jun 29, 2016

Pressure will be $40$ pounds per square feet.

#### Explanation:

In an inverse proportion like $P \propto V$ we have $P = k \times \frac{1}{V}$ or $P V = k$ and hence in two states of gas

${P}_{1} \times {V}_{1} = {P}_{2} \times {V}_{2}$ or

$60 \times 3 = {P}_{2} \times 4.5$ or

${P}_{2} = 60 \times \frac{3}{4.5} = \frac{180}{4.5} = 40$

Hence Pressure will be $40$ pounds per square feet.