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How is pressure and density related?

Updated: 8/10/2023
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13y ago

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To explain this we need to consider two major equationsLet us take1. Bernoulli's equation:P + (Rho)gy + (1/2)(Rho)v^2 const.2.Continuity equation:Which is to maintain constant flow rateQA1v1 A2v2Considering flow is happening through a tapering pipe.P pressureRho densityg gravityy heightQ Flow rate (Kg/cu.metre)A1 area of cross-section-1A2 area of cross-section-2v1 velocity at cross-section-1v2 velocity at cross-section-2Section 1 Larger than Section 2So when flow happens from section 1 to section 2 the area is decresing so the velocity will increase to maintain the constant flow rate by continuity equation.So if you take Bernoulli's equation, to maintain constant value at one side the datum/height or the pressure has to be increased.So Area decreases-->Velocity will increase-->Pressure increases.So velocity and Pressure are inversely proportional unless the Datum/Height is same.Hope this solves your query

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13y ago
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13y ago

Pressure and density are related by volume. P=nRT/V is the ideal gas law, where P is pressure, n is the number of moles of gas, R is the ideal gas constant, T is the temperature, and V is the volume. Density is defined as mass divided by the volume. So, the ideal gas law can be written P=nRTd/m, where d is the density of the gas and m is the mass of the gas.

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11y ago

Higher pressure results in higher density, lower pressure results in lower density.

For example, suppose you have a set volume or container you are putting gas into (i.e. increasing the pressure in the container). The more gas you put in, the greater the mass is contained in that same volume. This means the density has increased.

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16y ago

The relation is that as a fluid (gas or liquid) is denser it ways more. This will make each unit of space have more weight on it which cause more pressure per unit

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15y ago

Scroll down to related links and look at "Density of air - Wikipedia". See there: Importance of temperature.

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11y ago

It doesnt real ate

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Q: How is pressure and density related?
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