It the specific gravity of mercury is 13.6 and the atmospheric pressure is 70cm of mercury, what is the total pressure of the gas supply in cm of water if the height of water is increase by 3cm?
To find the total pressure of the gas supply, we need to consider both the pressure of the gas and the atmospheric pressure.
Given:
Specific gravity of mercury = 13.6
Atmospheric pressure = 70 cm of mercury
Increase in height of water = 3 cm
First, let's calculate the pressure of the gas using the specific gravity:
Pressure of the gas = specific gravity * atmospheric pressure
Pressure of the gas = 13.6 * 70 cm of mercury
Next, we need to convert the pressure of the gas from cm of mercury to cm of water because we want the total pressure in cm of water. To do this, we need to know the density ratio between water and mercury:
Density ratio = density of water / density of mercury
Density ratio = 1 g/cm³ / 13.6 g/cm³
Density ratio = 1/13.6
Now we can convert the pressure of the gas from cm of mercury to cm of water:
Pressure of the gas in cm of water = Pressure of the gas in cm of mercury * density ratio
Pressure of the gas in cm of water = (13.6 * 70) cm of water * (1/13.6)
Finally, we add the increase in height of water to the pressure of the gas to find the total pressure of the gas supply in cm of water:
Total pressure of the gas supply in cm of water = Pressure of the gas in cm of water + increase in height of water
Total pressure of the gas supply in cm of water = (13.6 * 70) cm of water * (1/13.6) + 3 cm
Simplifying the equation, we get:
Total pressure of the gas supply in cm of water = 70 cm of water + 3 cm
Total pressure of the gas supply in cm of water = 73 cm of water
Therefore, the total pressure of the gas supply in cm of water, when the height of water is increased by 3 cm, is 73 cm of water.