Find the pressure at the bottom of vessel 76cm deep filled with mercury whose density is 13.6 g/cm3.
We can use the formula for pressure:
P = ρgh
where P is pressure, ρ is density, g is acceleration due to gravity, and h is depth.
Plugging in the values, we get:
P = (13.6 g/cm3) x (9.81 m/s2) x (0.76 m)
P = 99.7 kPa
Therefore, the pressure at the bottom of the vessel is 99.7 kPa.
To find the pressure at the bottom of the vessel, you can use the formula:
Pressure = Density × Acceleration due to gravity × Height
Given:
- Depth of the vessel (height) = 76 cm
- Density of mercury = 13.6 g/cm³
- Acceleration due to gravity = 9.8 m/s²
First, we need to convert the density of mercury from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³):
Density of mercury = 13.6 g/cm³ = 13600 kg/m³
Next, we need to convert the depth of the vessel from centimeters to meters:
Height = 76 cm = 0.76 m
Now we can calculate the pressure at the bottom of the vessel:
Pressure = Density × Acceleration due to gravity × Height
= 13600 kg/m³ × 9.8 m/s² × 0.76 m
= 101408.8 N/m² (rounded to one decimal place)
Therefore, the pressure at the bottom of the vessel filled with mercury is approximately 101408.8 N/m².
To find the pressure at the bottom of the vessel, we can use the formula:
Pressure = density x gravity x height
In this case, the density of mercury is provided as 13.6 g/cm³, and the height of the vessel is given as 76 cm. The acceleration due to gravity is approximately 9.8 m/s².
However, we need to convert the height from cm to meters to match the unit of gravity. So, 76 cm is equal to 0.76 meters.
Now we can calculate the pressure:
Pressure = 13.6 g/cm³ x 9.8 m/s² x 0.76 m
To proceed with the calculation, the units need to match. Since the density is given in g/cm³, we need to convert it to kg/m³ by dividing it by 1000:
Pressure = (13.6 g/cm³ / 1000 kg/m³) x 9.8 m/s² x 0.76 m
Now let's calculate the pressure:
Pressure = 0.0136 kg/m³ x 9.8 m/s² x 0.76 m
Pressure = 0.101088 N/m²
Therefore, the pressure at the bottom of the vessel filled with mercury is approximately 0.101088 N/m².