A manometer is used to measure the pressure of a gas in a container one side is connected to the container the other side is open to the atmosphere. A manometer contains water of density 1000kg/m^3 and the head is 250mm. Calculate the gauge pressure of the gas in a container.
To calculate the gauge pressure of the gas in the container using the given information, we need to consider the pressure difference between the gas and the atmosphere, as indicated by the height of the water column in the manometer.
1. Start by converting the height of the water column from millimeters to meters.
- Given: Head = 250 mm
- Conversion factor: 1 meter = 1000 millimeters
- Conversion: Head = 250 mm * (1 m/1000 mm) = 0.25 m
2. Calculate the pressure due to the water column using the formula:
Pressure = density * gravity * height
- Given: Density of water (ρ) = 1000 kg/m^3
- Assumed: Acceleration due to gravity (g) = 9.8 m/s^2 (standard value)
- Calculated: Pressure = 1000 kg/m^3 * 9.8 m/s^2 * 0.25 m
Solving the equation, we find the pressure due to the water column.
3. Subtract the pressure due to the water column from the atmospheric pressure to get the gauge pressure of the gas.
- Assumed: Atmospheric pressure = 101,325 Pa (standard value)
- Gauge pressure = Atmospheric pressure - Pressure due to water column
By following these steps, you can calculate the gauge pressure of the gas in the container using the given information.