Question

The volume of a gas in cubic centimeters v,varies inversely with the pressure of the gas in liters per square centimeters,p when the volume of gas is 16cm3,it’s pressure is 20L/cm2.Find the volume of the gas when the pressure is 2.2L/cm2.

Answer 1

Answer:

The volume of the gas is $145.45\ cm^{3}$

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 $y*x=k$ or $y=k/x$

Let

v------> the volume of a gas in cubic centimeters

p-----> the pressure of the gas in liters per square centimeters

so

$p*v=k$

we have

$v=16\ cm^{3}, p=20\ l/cm^{2}$

substitute and solve for k

$k=16*20=320$

The equation is $p*v=320$

Find  the volume of the gas when the pressure is 2.2 L/cm2

so

For $p=2.2\ l/cm^{2}$ Find the value of v

substitute in the equation

$(2.2)*v=320$

$v=320/2.2=145.45\ cm^{3}$