How much work is done by the gas?
What is the formula to calculate the work done by the gas?
Is the work done by the gas approximately 60452.4 N·cm?
How can we convert the work from N·cm to joules?
Formula to Calculate the Work Done by the Gas
The work done by the gas can be calculated using the formula: Work = Force x Distance
Step 1: Calculate the area of the piston using the formula: Area = π x Radius^2. Step 2: Find the force exerted by the gas using the formula: Force = Pressure x Area. Step 3: Finally, calculate the work done by the gas using the formula: Work = Force x Distance.Conversion from N·cm to Joules
To convert the work from N·cm to joules, you can divide the work by 100.
So, the work done by the gas is approximately 604.52 J.The gas exerts a steady pressure of 385 kPa on the top of a piston as the piston moves through a stroke of 8 cm. If the diameter of the piston is 5 cm, the work done by the gas can be calculated as follows:
Step 1:Calculate the area of the piston:
Radius = Diameter / 2 = 5 cm / 2 = 2.5 cm.
Area = π x (2.5 cm)^2 ≈ 19.63 cm^2.
Step 2:Find the force exerted by the gas:
Force = 385 kPa x 19.63 cm^2 ≈ 7556.55 N.
Step 3:Calculate the work done by the gas:
Work = 7556.55 N x 8 cm ≈ 60452.4 N·cm.
Then, to convert the work from N·cm to joules, divide the work by 100, resulting in approximately 604.52 J.