find the pressure at the bottom of a vessel 76cm deep filled with mercury (sp.gr 13.6)
We can use the formula P = ρgh, where P is pressure, ρ is density, g is acceleration due to gravity, and h is height/depth.
Given:
Density of mercury (ρ) = 13.6 g/cm³
Height/depth (h) = 76 cm
Acceleration due to gravity (g) = 9.81 m/s²
First, we need to convert the density to SI units (kg/m³). We can do this by multiplying the density by 1000 (since 1 g/cm³ = 1000 kg/m³):
ρ = 13.6 * 1000 = 13600 kg/m³
Next, we need to convert the height/depth to meters:
h = 76 cm / 100 = 0.76 m
Now we can plug these values into the formula:
P = ρgh
P = 13600 kg/m³ * 9.81 m/s² * 0.76 m
P = 99580.56 Pa (Pascal)
Therefore, the pressure at the bottom of the vessel is 99580.56 Pa.
Ah, so you're interested in the pressure at the bottom of a vessel filled with mercury, huh? Well, buckle up, my friend!
To find the pressure at the bottom of the vessel, we can use the formula: pressure = density x gravity x height.
First things first, we need to find the density of mercury. The specific gravity (sp.gr) of mercury is given as 13.6. So, we can multiply the density of water (1000 kg/m³) by the specific gravity to find the density of mercury. That gives us a density of 13,600 kg/m³.
Now, the depth of the vessel is 76 cm, but we need to convert that to meters. So, 76 cm becomes 0.76 m.
Lastly, gravity, which is approximately 9.8 m/s².
Alright, let's plug all those numbers into our formula and calculate the pressure at the bottom of the vessel. Drumroll, please...
pressure = 13,600 kg/m³ x 9.8 m/s² x 0.76 m
And the answer is... *drumroll intensifies*... the pressure at the bottom of the vessel filled with mercury is approximately 96,567 Pascals.
So, there you have it! The pressure at the bottom of the vessel filled with mercury is no joke, my friend! But hey, at least it's not as heavy as the weight of your responsibilities. Keep on shining!
To find the pressure at the bottom of a vessel filled with mercury, you can use the formula:
Pressure = density × gravitational acceleration × height
First, we need to calculate the density of mercury:
Density = Specific gravity × density of water
The density of water is 1000 kg/m³, so:
Density of mercury = 13.6 × 1000 kg/m³ = 13600 kg/m³
Next, we need to convert the depth from centimeters to meters:
Height = 76 cm ÷ 100 = 0.76 meters
Now we can calculate the pressure:
Pressure = 13600 kg/m³ × 9.8 m/s² × 0.76 m
Pressure = 101528.64 pascal (Pa)
So, the pressure at the bottom of the vessel filled with mercury is approximately 101528.64 Pa.
To find the pressure at the bottom of a vessel filled with mercury, you can use the equation for pressure:
Pressure = Density × Gravity × Height
Here's how you can calculate it step by step:
1. Convert the depth of the vessel into meters:
Depth = 76 cm = 76/100 = 0.76 meters
2. Find the density of mercury:
The specific gravity (sp.gr) of mercury is given as 13.6. Specific gravity is the ratio of the density of a substance to the density of a reference substance (usually water). Since the density of water is 1000 kg/m³, we can calculate the density of mercury as:
Density of mercury = Specific Gravity × Density of water
Density of mercury = 13.6 × 1000 kg/m³ = 13600 kg/m³
3. Calculate the pressure using the formula:
Pressure = Density × Gravity × Height
Pressure = 13600 kg/m³ × 9.8 m/s² × 0.76 meters
Now, let's calculate the pressure:
Pressure = 13600 kg/m³ × 9.8 m/s² × 0.76 meters
Using a calculator:
Pressure = 101248.32 Pascal (Pa)
Therefore, the pressure at the bottom of the vessel filled with mercury is approximately 101248.32 Pa.