To calculate the work done by the piston, we can use the formula:
Work = Force x Distance
First, let's calculate the force exerted by the piston. The formula for force is:
Force = Pressure x Area
Given: Area = 60 cm² Pressure = 3 atm
We need to convert the pressure to SI units (Pascals). 1 atm = 101,325 Pa.
Pressure = 3 atm × 101,325 Pa/atm = 303,975 Pa
Force = Pressure x Area Force = 303,975 Pa × 60 cm² = 18,238,500 N
Now we can calculate the work done by the piston.
Given: Distance = 20 cm
Distance needs to be converted to meters. 1 meter = 100 cm
Distance = 20 cm × (1 m / 100 cm) = 0.2 m
Work = Force x Distance Work = 18,238,500 N × 0.2 m = 3,647,700 Joules
To convert the work done to calories, we can use the conversion factor:
1 calorie = 4.184 Joules
Work in calories = 3,647,700 Joules / 4.184 = 872,651.72 calories
Therefore, the work done by the piston is approximately 3,647,700 Joules and 872,651.72 calories.