Answer:
The volume of the gas is [tex]145.45\ cm^{3}[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
v------> the volume of a gas in cubic centimeters
p-----> the pressure of the gas in liters per square centimeters
so
[tex]p*v=k[/tex]
we have
[tex]v=16\ cm^{3}, p=20\ l/cm^{2}[/tex]
substitute and solve for k
[tex]k=16*20=320[/tex]
The equation is [tex]p*v=320[/tex]
Find the volume of the gas when the pressure is 2.2 L/cm2
so
For [tex]p=2.2\ l/cm^{2}[/tex] Find the value of v
substitute in the equation
[tex](2.2)*v=320[/tex]
[tex]v=320/2.2=145.45\ cm^{3}[/tex]
