Question

In a closed container, the pressure is inversely proportional to the volume when the temperature is held constant. Find the pressure of a gas compressed to 0.386 cu ft if the pressure is 12.86 psi at 2.52 cu ft.

Answer 1

In a closed container, the pressure is inversely proportional to the volume when the temperature is held constant. Find the pressure of a gas compressed to 0.386 cu ft if the pressure is 12.86 psi at 2.52 cu ft.

Remember that

If the relationship between two variables is inversely proportional, then

the equation is of the form

x*y=k

where

k is the constant of proportionality

step 1

Find out the value of k

P*V=k

we have

P=12.86 psi and V=2.52 cu ft

substitute

k=12.86*2.52

k=32.4072

step 2

Find out the pressure

For V=0.386 cu ft

P*0.386=32.4072

solve for P

P=83.97 psi