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Temperature of Gas given Density by Ideal Gas Law Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%

✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas given Density by Ideal Gas Law [T_gas]

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Formula

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Temperature of Gas given Density by Ideal Gas Law

Formula

T gas = \frac{P gas \cdot M molar}{[R] \cdot ρ gas}

Example

273.6388 K = \frac{101325 Pa \cdot 44.01 g/mol}{[R] \cdot 1.96 g/L}

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Temperature of Gas given Density by Ideal Gas Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas)
T_gas = (P_gas*M_molar)/([R]*ρ_gas)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 101325 Pascal --> 101325 Pascal No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Density of Gas: 1.96 Gram per Liter --> 1.96 Kilogram per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_gas = (P_gas*M_molar)/([R]*ρ_gas) --> (101325*0.04401)/([R]*1.96)

Evaluating ... ...

T_gas = 273.638829821802

STEP 3: Convert Result to Output's Unit

273.638829821802 Kelvin --> No Conversion Required

FINAL ANSWER

273.638829821802 ≈ 273.6388 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 seconds)

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< Ideal Gas Law Calculators

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 Formula

Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas)
T_gas = (P_gas*M_molar)/([R]*ρ_gas)

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 Temperature of Gas given Density by Ideal Gas Law?

Temperature of Gas given Density by Ideal Gas Law calculator uses Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas) to calculate the Temperature of Gas, The Temperature of gas given density by ideal gas law formula is defined as the direct relation with pressure and molar mass of the gas and inverse relationship with the density of the gas. Temperature of Gas is denoted by T_gas symbol.

How to calculate Temperature of Gas given Density by Ideal Gas Law using this online calculator? To use this online calculator for Temperature of Gas given Density by Ideal Gas Law, enter Pressure of Gas (P_gas), Molar Mass (M_molar) & Density of Gas (ρ_gas) and hit the calculate button. Here is how the Temperature of Gas given Density by Ideal Gas Law calculation can be explained with given input values -> 419009.5 = (101325*0.04401)/([R]*1.96).

FAQ

What is Temperature of Gas given Density by Ideal Gas Law?

The Temperature of gas given density by ideal gas law formula is defined as the direct relation with pressure and molar mass of the gas and inverse relationship with the density of the gas and is represented as T_gas = (P_gas*M_molar)/([R]*ρ_gas) or Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas). The pressure of Gas is the force that the gas exerts on the walls of its container, Molar Mass is the mass of a given substance divided by the amount of substance & The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

How to calculate Temperature of Gas given Density by Ideal Gas Law?

The Temperature of gas given density by ideal gas law formula is defined as the direct relation with pressure and molar mass of the gas and inverse relationship with the density of the gas is calculated using Temperature of Gas = (Pressure of Gas*Molar Mass)/([R]*Density of Gas). To calculate Temperature of Gas given Density by Ideal Gas Law, you need Pressure of Gas (P_gas), Molar Mass (M_molar) & Density of Gas (ρ_gas). With our tool, you need to enter the respective value for Pressure of Gas, Molar Mass & Density 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 Temperature of Gas?

In this formula, Temperature of Gas uses Pressure of Gas, Molar Mass & Density of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -

Temperature of Gas = (Pressure of Gas*Volume of Gas)/(Number of Moles*[R])
Temperature of Gas = (Pressure of Gas*Volume of Gas)/((Mass of Gas/Molar Mass)*[R])

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