Question

A gas sample is confined within a chamber that has a movable piston. A small load is placed on the piston; and the system is allowed to reach equilibrium. If the total weight of the piston and load is 70.0 N and the piston has an area of 5.0 × 10 –4 m 2 , what is the pressure exerted on the piston by the gas? Note: Atmospheric pressure is 1.013 × 10 5 Pa.

Answer 1

Step-by-step explanation:

It is given that,

Total weight of the piston, W = F = 70 N

Area of the piston,
`a=5* 10^(-4)\ m^2`

Let P is the pressure exerted on the piston by the gas. The force per unit area is called the pressure exerted pressure of the gas. Mathematically, it is given by :

`P=(F)/(A)`

`P=(70\ N)/(5* 10^(-4)\ m^2)`

`P=1.4* 10^5\ Pa`

We know that the atmospheric pressure is given by :

`P_o=1.013* 10^5\ Pa`

So, the pressure is given by :

`p=P+P_o`

`p=1.4* 10^5+1.013* 10^5`

`p=2.41* 10^5\ Pa`

Hence, this is the required solution.