The volume of a gas is reduced from 4 l to 0.5 l while the temperature is held constant. how does the gas pressure change?

The pressure increases by a factor 8

Explanation:

For a gas held at constant temperature, Boyle's law can be applied. It states that the product of the gas pressure and the gas volume is constant, so we can write:

where

is the initial pressure

is the final pressure

is the initial volume

is the final volume

For the gas in this problem, the volume is reduced from

to

so we can rewrite the equation as

this means that the pressure of the gas will increase by a factor 8.

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement