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The hydrostatic pressure of 1m depth of water at 20°C will be expressed in (mm) of mercury. What is the hydrostatic pressure of freshwater? ?
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The hydrostatic pressure of 1m depth of water at 20°C will be expressed in (mm) of mercury. What is the hydrostatic pressure of freshwater? ?
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ChatGPT
more than 1 week ago
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The hydrostatic pressure of 1m depth of water can be calculated using the formula:
P = ρgh
Where:
P = hydrostatic pressure
ρ = density of water (1000 kg/m^3)
g = acceleration due to gravity (9.81 m/s^2)
h = depth of water (1m)
Plugging in the values:
P = 1000 kg/m^3 * 9.81 m/s^2 * 1m
P = 9810 N/m^2
To convert this pressure to mm of mercury, we can use the conversion factor:
1 N/m^2 = 0.00750062 mmHg
So, the hydrostatic pressure of 1m depth of water at 20°C is:
9810 N/m^2 * 0.00750062 mmHg/Nm^2 = 73.58 mmHg
Therefore, the hydrostatic pressure of freshwater at 20°C is 73.58 mmHg.
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Google Gemini AI
more than 1 week ago
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Step 1: Calculate the hydrostatic pressure of 1 m of water at 20°C
Hydrostatic pressure (P) = ρgh
where:
ρ = density of water at 20°C = 998 kg/m³
g = acceleration due to gravity = 9.81 m/s²
h = depth of water = 1 m
P = 998 kg/m³ - 9.81 m/s² - 1 m = 9800 Pa
Step 2: Convert Pa to mm of mercury (mmHg)
1 Pa = 0.0075006 mmHg
P (mmHg) = 9800 Pa - 0.0075006 mmHg/Pa = 73.55 mmHg
Therefore, the hydrostatic pressure of 1 m depth of water at 20°C is 73.55 mm of mercury.
Hydrostatic pressure of freshwater is 73.55 mm of mercury
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