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Pressure Inside Grain Formula

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Inside pressure of Grain is a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size. Check FAQs

P i = P e + \frac{4 \cdot γ}{Φ}

P_i - Inside pressure of Grain?P_e - External Pressure of Grain?γ - Specific Surface Energy?Φ - Size of Grain?

Pressure Inside Grain Example

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Here is how the Pressure Inside Grain equation looks like with Values.

Here is how the Pressure Inside Grain equation looks like with Units.

Here is how the Pressure Inside Grain equation looks like.

2E+9 = 20 + \frac{4 \cdot 50}{100}

2E+9Pa = 20Pa + \frac{4 \cdot 50J/m²}{100nm}

2E+9 = 20 + \frac{4 \cdot 50}{100}

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Pressure Inside Grain Solution

Follow our step by step solution on how to calculate Pressure Inside Grain?

FIRST Step Consider the formula

P i = P e + \frac{4 \cdot γ}{Φ}

Next Step Substitute values of Variables

∴

P i = 20Pa + \frac{4 \cdot 50J/m²}{100nm}

Next Step Convert Units

∴

P i = 20Pa + \frac{4 \cdot 50J/m²}{1E-7m}

Next Step Prepare to Evaluate

∴

P i = 20 + \frac{4 \cdot 50}{1E-7}

Next Step Evaluate

∴

P i = 2000000020Pa

LAST Step Rounding Answer

∴

P i = 2E+9Pa

Pressure Inside Grain Formula Elements

Variables

Inside pressure of Grain

Inside pressure of Grain is a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Inside pressure of Grain

External Pressure of Grain

External Pressure of Grain is a measure of the amount of pressure acting on the surface of the grain from outside.

Symbol: P_e

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find External Pressure of Grain

Specific Surface Energy

The Specific Surface Energy is the ratio of the required work to the surface area of the object.

Symbol: γ

Measurement: Specific Surface EnergyUnit: J/m²

Note: Value can be positive or negative.

Formulas to find Specific Surface Energy

Size of Grain

Size of Grain is the size of the individual constituent particles of the material being studued.

Symbol: Φ

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Size of Grain

Other formulas in Size Effects on Structure and Morphology of Free or Supported Nanoparticles category

Go Specific Surface Energy using Pressure, Volume Change and Area

γ = \frac{ΔP \cdot dV}{dA}

Go Specific Surface Energy using Work for Nanoparticles

γ = \frac{dW}{dA}

Go Surface Stress using Work

g = \frac{dW}{dA}

Go Excess Pressure using Surface Energy and Radius

ΔP = \frac{2 \cdot γ}{R}

How to Evaluate Pressure Inside Grain?

Pressure Inside Grain evaluator uses Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain to evaluate the Inside pressure of Grain, The Pressure Inside Grain formula is defined as a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size. Inside pressure of Grain is denoted by P_i symbol.

How to evaluate Pressure Inside Grain using this online evaluator? To use this online evaluator for Pressure Inside Grain, enter External Pressure of Grain (P_e), Specific Surface Energy (γ) & Size of Grain (Φ) and hit the calculate button.

FAQs on Pressure Inside Grain

What is the formula to find Pressure Inside Grain?

The formula of Pressure Inside Grain is expressed as Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain. Here is an example- 2E+8 = 20+(4*50)/1E-07.

How to calculate Pressure Inside Grain?

With External Pressure of Grain (P_e), Specific Surface Energy (γ) & Size of Grain (Φ) we can find Pressure Inside Grain using the formula - Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain.

Can the Pressure Inside Grain be negative?

No, the Pressure Inside Grain, measured in Pressure cannot be negative.

Which unit is used to measure Pressure Inside Grain?

Pressure Inside Grain is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure Inside Grain can be measured.

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Pressure Inside Grain Formula

Pressure Inside Grain Example

Pressure Inside Grain Solution

Pressure Inside Grain Formula Elements

Other formulas in Size Effects on Structure and Morphology of Free or Supported Nanoparticles category

How to Evaluate Pressure Inside Grain?

FAQs on Pressure Inside Grain

Variable Name