What pressure is exerted at the bottom of a tube of mercury 15 cm high?
To find out the pressure in this kind of situation
simply follow the equation
Pressure = height of the column x Density of the filled liquid
So, Here Pressure= 15 cmx 13.6 g/cm^3
= 204 gm/cm^2
To determine the pressure exerted at the bottom of a tube of mercury, we need to use the relationship between pressure, density, and height of the column of liquid.
The formula to calculate pressure is:
Pressure = density × gravitational acceleration × height
1. First, we need to find the density of mercury. The density of mercury is approximately 13,600 kg/m³.
2. Convert the height of the mercury column from centimeters to meters. Since 1 meter = 100 centimeters, the height is 0.15 meters.
3. The gravitational acceleration is approximately 9.8 m/s².
Now, we can calculate the pressure:
Pressure = (13,600 kg/m³) × (9.8 m/s²) × (0.15 m)
By performing the calculation, we find that the pressure exerted at the bottom of the tube of mercury is approximately 294.84 pascals (Pa).
To calculate the pressure exerted at the bottom of a tube filled with mercury, you need to use the concept of pressure as the ratio of force to area. Here's how you can find the answer:
1. Determine the density of mercury: The density of mercury is typically around 13.6 grams per cubic centimeter (g/cm³), or 13,600 kilograms per cubic meter (kg/m³). This value tells us how much mass is packed into a specific volume.
2. Convert the height of the mercury column to meters: Since the density of mercury is given in kg/m³, convert the height measurement from centimeters to meters. In this case, 15 cm is equal to 0.15 meters.
3. Calculate the pressure: The pressure at a specific depth in a liquid can be determined using the formula: pressure = density × gravitational acceleration × height. The standard gravitational acceleration is approximately 9.8 m/s².
So, the pressure exerted at the bottom of the mercury column can be calculated as:
pressure = density × gravitational acceleration × height
pressure = 13,600 kg/m³ × 9.8 m/s² × 0.15 m
Evaluating the calculation, you will find that the pressure exerted at the bottom of the tube is approximately 3,588 Pascals (Pa).