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Pressure of Gas using Number Density Formula

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The pressure of Gas is the force that the gas exerts on the walls of its container. Check FAQs

P g = n \cdot [BoltZ] \cdot T g

P_g - Pressure of Gas?n - Number Density?T_g - Temperature of Gas?[BoltZ] - Boltzmann constant?

Pressure of Gas using Number Density Example

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Here is how the Pressure of Gas using Number Density equation looks like with Values.

Here is how the Pressure of Gas using Number Density equation looks like with Units.

Here is how the Pressure of Gas using Number Density equation looks like.

4.1E-20 = 9.8987 \cdot 1.4E-23 \cdot 300

4.1E-20Pa = 9.89871/m³ \cdot 1.4E-23J/K \cdot 300K

4.1E-20 = 9.8987 \cdot 1.4E-23 \cdot 300

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Pressure of Gas using Number Density Solution

Follow our step by step solution on how to calculate Pressure of Gas using Number Density?

FIRST Step Consider the formula

P g = n \cdot [BoltZ] \cdot T g

Next Step Substitute values of Variables

∴

P g = 9.89871/m³ \cdot [BoltZ] \cdot 300K

Next Step Substitute values of Constants

∴

P g = 9.89871/m³ \cdot 1.4E-23J/K \cdot 300K

Next Step Prepare to Evaluate

∴

P g = 9.8987 \cdot 1.4E-23 \cdot 300

Next Step Evaluate

∴

P g = 4.10000007731388E-20Pa

LAST Step Rounding Answer

∴

P g = 4.1E-20Pa

Pressure of Gas using Number Density Formula Elements

Variables

Constants

Pressure of Gas

The pressure of Gas is the force that the gas exerts on the walls of its container.

Symbol: P_g

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

Number Density

Number Density is the moles of particles per unit volume.

Symbol: n

Measurement: Number DensityUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Number Density

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other formulas in Elements of Kinetic Theory category

Go Pressure using Kinetic Energy per Mole

p = \frac{2}{3} \cdot \frac{E' t}{V}

Go Volume of Gas

V = \frac{2}{3} \cdot \frac{E t}{p}

Go Kinetic Energy per Mole

E' t = \frac{3}{2} \cdot p \cdot V

Go Pressure using Molar Volume

p = \frac{2}{3} \cdot \frac{E' t}{V m}

How to Evaluate Pressure of Gas using Number Density?

Pressure of Gas using Number Density evaluator uses Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas to evaluate the Pressure of Gas, Pressure of Gas using Number Density formula is defined as a measure of the force exerted per unit area of a gas, which is directly proportional to the number density of molecules and the temperature of the gas, providing a fundamental understanding of the kinetic theory of gases. Pressure of Gas is denoted by P_g symbol.

How to evaluate Pressure of Gas using Number Density using this online evaluator? To use this online evaluator for Pressure of Gas using Number Density, enter Number Density (n) & Temperature of Gas (T_g) and hit the calculate button.

FAQs on Pressure of Gas using Number Density

What is the formula to find Pressure of Gas using Number Density?

The formula of Pressure of Gas using Number Density is expressed as Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas. Here is an example- 4.1E-20 = 9.89873*[BoltZ]*300.

How to calculate Pressure of Gas using Number Density?

With Number Density (n) & Temperature of Gas (T_g) we can find Pressure of Gas using Number Density using the formula - Pressure of Gas = Number Density*[BoltZ]*Temperature of Gas. This formula also uses Boltzmann constant .

Can the Pressure of Gas using Number Density be negative?

Yes, the Pressure of Gas using Number Density, measured in Pressure can be negative.

Which unit is used to measure Pressure of Gas using Number Density?

Pressure of Gas using Number Density 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 of Gas using Number Density can be measured.

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