The relationship between pressure and volume, however, is not a direct relationship. These two variables have an inverse relationship, meaning they change in op

Question

would someone please help!!!

Answer 1

We will start with the ideal gas law: PV=nRT

 

Lets just say that NRT is a constant.  For easy conversion, we will define volume in m³ and pressure in Newton/m² pascal.

 

We will let NRT =100000 (Newton)(meters).

 

So PV=100000 (Newton)(meters)

 

So lets say that we want to find the pressure given volume=5m³.   According to our equation, P=(100000/5) n/m²=20000 n/m^2.

 

Notice how we are dividing by volume instead of multiplying to get pressure.  This is defined as an inverse relationship.  Because both pressure and volume are on the same side of the equation, we have to divide to find the other.  So if the volume goes up the pressure goes down and if the pressure goes up the volume goes down.

 

If you notice, T has a direct relationship with P and V if everything else is held constant.  If T goes up and P is held constant, the volume will go up by the same proportion.  The situation is similar for volume also.

 

Hope this helps.

Answer 2

For an ideal gas at constant temperature, pressure and volume are inversely proportional, as long as the amount of gas does not change.  As one rises, the other drops, and their product is constant. 

 

PV = k = constant

 

P = k/V

 

V = k/P

 

If a constant temperature process changes the pressure and volume of an ideal gas sample from P₁ and V₁ to P₂ and V₂, 

 

P₁V₁ = P₂V₂