Answer:
The answer the question, what is the pressure of the gas, in pascals is 101195.73 Pa
Explanation:
Firstly we list out the known variables
The known variables are
mass of piston = 1.1 kg, diameter of piston, D = 10.0 cm = 0.1 m
mass of weight = 2.0 kg atmospheric pressure = 1.0 atm
In this question the quantity required is the presssure of the gas in the cylinder after placing a weght on the piston
To solve this, we note that Pressure = Force per unit area
= Force/area, hence
We compute the area of the piston thus
Area = (πD²)÷4 = 0.0079 m²
While the sum of the mass of the piston and the added weight = 1.1 kg + 2.0 kg = 3.1 kg
The weight of the added mass and piston that is their force on the gas = W = Mass × gravity = 3.1 kg × 9.81 m/s² = 30.411 N
Therefore the pressure = 30.411N/(0.0079 m²) = 3870.73 Pascals
The pressure of the gas = pressure due to the piston and the added weight + pressure due to the atmosphere
thus pressure of the gas = 3870.73 Pa + 1.0 atm =3870.73 Pa + 101325 Pa =101195.73 Pa
The pressure of the gas, in pascals is 101195.73 Pa
