# 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.