Pressure by Ideal Gas Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas
Pgas = (Nmoles*[R]*Tgas)/V
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Number of Moles - Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
STEP 1: Convert Input(s) to Base Unit
Number of Moles: 0.99 --> No Conversion Required
Temperature of Gas: 273 Kelvin --> 273 Kelvin No Conversion Required
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pgas = (Nmoles*[R]*Tgas)/V --> (0.99*[R]*273)/0.0224
Evaluating ... ...
Pgas = 100319.188027155
STEP 3: Convert Result to Output's Unit
100319.188027155 Pascal --> No Conversion Required
FINAL ANSWER
100319.188027155 100319.2 Pascal <-- Pressure of Gas
(Calculation completed in 00.004 seconds)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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25 Ideal Gas Law Calculators

Initial Temperature of Gas by Ideal Gas law
Go Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas)
Final Temperature of Gas by Ideal Gas Law
Go Final Temperature of Gas for Ideal Gas = (Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/((Initial Pressure of Gas*Initial Volume of Gas)/Initial Temperature of Gas for Ideal Gas)
Initial Pressure of Gas by Ideal Gas Law
Go Initial Pressure of Gas = ((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas)*(Initial Temperature of Gas for Ideal Gas/Initial Volume of Gas)
Initial Volume of Gas by Ideal Gas Law
Go Initial Volume of Gas = ((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas)*(Initial Temperature of Gas for Ideal Gas/Initial Pressure of Gas)
Final Pressure of Gas by Ideal Gas Law
Go Final Pressure of Gas = ((Initial Pressure of Gas*Initial Volume of Gas)/Initial Temperature of Gas for Ideal Gas)*(Final Temperature of Gas for Ideal Gas/Final Volume of Gas for Ideal Gas)
Final Volume of Gas by Ideal Gas Law
Go Final Volume of Gas for Ideal Gas = ((Initial Pressure of Gas*Initial Volume of Gas)/Initial Temperature of Gas for Ideal Gas)*(Final Temperature of Gas for Ideal Gas/Final Pressure of Gas)
Final Temperature of Gas given Density
Go Final Temperature of Gas for Ideal Gas = (Final Pressure of Gas/Final Density of Gas)/(Initial Pressure of Gas/ (Initial Density of Gas*Initial Temperature of Gas for Ideal Gas))
Final Density of Gas by Ideal Gas Law
Go Final Density of Gas = (Final Pressure of Gas/Final Temperature of Gas for Ideal Gas)/(Initial Pressure of Gas/ (Initial Density of Gas*Initial Temperature of Gas for Ideal Gas))
Final Pressure of gas given Density
Go Final Pressure of Gas = (Initial Pressure of Gas/ (Initial Density of Gas*Initial Temperature of Gas for Ideal Gas))*(Final Density of Gas*Final Temperature of Gas for Ideal Gas)
Initial Temperature of Gas given Density
Go Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas/Initial Density of Gas)/(Final Pressure of Gas/(Final Density of Gas*Final Temperature of Gas for Ideal Gas))
Initial Density of Gas by Ideal Gas Law
Go Initial Density of Gas = (Initial Pressure of Gas/Initial Temperature of Gas for Ideal Gas)/(Final Pressure of Gas/(Final Density of Gas*Final Temperature of Gas for Ideal Gas))
Initial Pressure of Gas given Density
Go Initial Pressure of Gas = (Final Pressure of Gas/(Final Density of Gas*Final Temperature of Gas for Ideal Gas))*(Initial Density of Gas*Initial Temperature of Gas for Ideal Gas)
Temperature of Gas given Molecular Weight of Gas by Ideal Gas law
Go Temperature of Gas = (Pressure of Gas*Volume of Gas)/((Mass of Gas/Molar Mass)*[R])
Pressure of Gas given Molecular Weight of Gas by Ideal Gas law
Go Pressure of Gas = ((Mass of Gas/Molar Mass)*[R]*Temperature of Gas)/Volume of Gas
Volume of Gas given Molecular Weight of Gas by Ideal Gas Law
Go Volume of Gas = ((Mass of Gas/Molar Mass)*[R]*Temperature of Gas)/Pressure of Gas
Molecular Weight of Gas by Ideal Gas Law
Go Molar Mass = (Mass of Gas*[R]*Temperature of Gas)/(Pressure of Gas*Volume of Gas)
Amount of Gas taken by Ideal Gas Law
Go Mass of Gas = (Molar Mass*Pressure of Gas*Volume of Gas)/([R]*Temperature of Gas)
Number of Moles of Gas by Ideal Gas Law
Go Number of Moles = (Pressure of Gas*Volume of Gas)/([R]*Temperature of Gas)
Temperature of Gas by Ideal Gas Law
Go Temperature of Gas = (Pressure of Gas*Volume of Gas)/(Number of Moles*[R])
Volume of Gas from Ideal Gas Law
Go Volume of Gas = (Number of Moles*[R]*Temperature of Gas)/Pressure of Gas
Pressure by Ideal Gas Law
Go Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas
Temperature of Gas given Density by Ideal Gas Law
Go Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas)
Density of Gas by Ideal Gas law
Go Density of Gas = (Pressure of Gas*Molar Mass)/([R]*Temperature of Gas)
Molecular Weight of Gas given Density by Ideal Gas Law
Go Molar Mass = (Density of Gas*[R]*Temperature of Gas)/Pressure of Gas
Pressure of Gas given Density by Ideal Gas law
Go Pressure of Gas = (Density of Gas*[R]*Temperature of Gas)/Molar Mass

14 Basic Formulas Calculators

Pressure using Virial Equation of State
Go Absolute Pressure = (1/Specific Volume)*(([R]*Temperature)+(Pressure*Virial Coefficient))
Number of Moles Initially given Extent of Reaction
Go Initial Number of Moles = (Number of Moles at Equilibrium-(Stoichiometric Coefficient for i-th Component*Extent of Reaction))
Extent of Reaction given Number of Moles Initially and at Equilibrium
Go Extent of Reaction = ((Number of Moles at Equilibrium-Initial Number of Moles)/Stoichiometric Coefficient for i-th Component)
Number of Moles at Equilibrium given Extent of Reaction
Go Number of Moles at Equilibrium = Initial Number of Moles+(Stoichiometric Coefficient for i-th Component*Extent of Reaction)
Pressure by Ideal Gas Law
Go Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas
Overall Conversion in Recycle Process
Go Overall Conversion = ((Amount of Fresh Feed-Amount of Net Product)/Amount of Fresh Feed)*100
Change in Number of Moles due to Reaction
Go Change in Number of Moles = (Stoichiometric Coefficient for i-th Component *Extent of Reaction)
Extent of Reaction given Change in Number of Moles
Go Extent of Reaction = (Change in Number of Moles/Stoichiometric Coefficient for i-th Component)
Number of Gram-Atoms of Element
Go Number of Gram-Atoms of Element = Number of Grams of Element/Average Molecular Weight
Selectivity
Go Selectivity = (Moles of Desired Product/Moles of Undesired Product formed)*100
Overall Material Balance for Crystallizer
Go Feed Solution = Weight of Saturated Solution+Yield of Crystals
Mass Fraction of Species A
Go Mass Fraction = Mass of Species A/Total Mass of Molecule
Vacuum Pressure
Go Vacuum Pressure = Atmospheric Pressure-Absolute Pressure
Gauge Pressure
Go Gauge Pressure = Absolute Pressure-Atmospheric Pressure

Pressure by Ideal Gas Law Formula

Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas
Pgas = (Nmoles*[R]*Tgas)/V

What is Ideal gas law?

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. Note that this law makes no comment as to whether a gas heats or cools during compression or expansion. An ideal gas may not change temperature, but most gases like air are not ideal and follow the Joule–Thomson effect.

How to Calculate Pressure by Ideal Gas Law?

Pressure by Ideal Gas Law calculator uses Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas to calculate the Pressure of Gas, The Pressure by ideal gas law formula is defined as the product of the number of moles of gas with a temperature of the gas and universal gas constant per volume of the gas. Pressure of Gas is denoted by Pgas symbol.

How to calculate Pressure by Ideal Gas Law using this online calculator? To use this online calculator for Pressure by Ideal Gas Law, enter Number of Moles (Nmoles), Temperature of Gas (Tgas) & Volume of Gas (V) and hit the calculate button. Here is how the Pressure by Ideal Gas Law calculation can be explained with given input values -> 202665 = (0.99*[R]*273)/0.0224.

FAQ

What is Pressure by Ideal Gas Law?
The Pressure by ideal gas law formula is defined as the product of the number of moles of gas with a temperature of the gas and universal gas constant per volume of the gas and is represented as Pgas = (Nmoles*[R]*Tgas)/V or Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas. Number of Moles is the amount of gas present in moles. 1 mole of gas weighs as much as its molecular weight, The temperature of Gas is the measure of hotness or coldness of a gas & The volume of Gas is the amount of space that it occupies.
How to calculate Pressure by Ideal Gas Law?
The Pressure by ideal gas law formula is defined as the product of the number of moles of gas with a temperature of the gas and universal gas constant per volume of the gas is calculated using Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas. To calculate Pressure by Ideal Gas Law, you need Number of Moles (Nmoles), Temperature of Gas (Tgas) & Volume of Gas (V). With our tool, you need to enter the respective value for Number of Moles, Temperature of Gas & Volume of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure of Gas?
In this formula, Pressure of Gas uses Number of Moles, Temperature of Gas & Volume of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pressure of Gas = ((Mass of Gas/Molar Mass)*[R]*Temperature of Gas)/Volume of Gas
  • Pressure of Gas = (Density of Gas*[R]*Temperature of Gas)/Molar Mass
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