Values Of R Gas Constant

The gas abiding is a physical constant denoted by R and is expressed in terms of units of free energy per temperature increment per mole. It is also known as the ideal gas constant or molar gas constant or universal gas abiding. The gas constant value is equivalent to the Boltzmann constant simply expressed as the pressure-volume product instead of free energy per increment of temperature per particle.

Gas Constant Value

In physics, the gas constant is the proportionality constant used to relate the free energy calibration to the temperature scale, when 1 mole of particles at a divers temperature is considered. The ideal gas constant is the combination of Boyle's police, Avogadro'due south number, Charles'due south law and Gay-Lussac'south constabulary. Thus, the gas constant R can exist given as –

Gas constant R = 8.3144598(48) J⋅mol⁻¹⋅1000⁻¹

The digits within the parentheses are the uncertainty in the measurement of the gas constant value.

Gas Constant In Different Units

The gas constant is inversely used in various disciplines. Hence, it is expressed in many units. Some gas constant values in different units are listed below-

Gas Constant Value	Units
8.3144598(48)	J⋅1000^−ane⋅mol^−ane
8.3144598(48)×ten³	amu.m².southward^-2.1000^-1
8.3144598(48)×10⁻ⁱⁱ	50.bar.K^-1.mol^-1
8.3144598(48)	yard³.Pa.Grand^-ane.mol^-1
62.363577(36)	L.Torr.K^-1.mol^-1
1.9872036(xi)×ten⁻³	kcal.M^-1.mol^-i
8.2057338(47)×10⁻⁵	m^three.atm.K^-1.mol^-ane
0.082057338(47)	L.atm.K^-1.mol^-1

R Constant For Atm

In the The states Standard Temper the R constant for atm is given as

R = 8.31432×xⁱⁱⁱ N⋅m⋅kmol^−one⋅K⁻¹.

Specific Gas Constant

The ratio of the molar gas constant(R) to the tooth mass(M) of the gas mixture is chosen The specific gas constant. Denoted by R_specific and mathematically expressed every bit –

\(\brainstorm{array}{l}R_{specific}= \frac{R}{Chiliad}\end{assortment} \)

Dimensions

Using the platonic gas equation PV = northward RT. The gas constant R can be expressed equally-

\(\begin{assortment}{fifty}R=\frac{PV}{nT}\stop{assortment} \)

Where,

P is the pressure.
V is the volume,
n is the number of moles of the given substance
T is the temperature.

Thus, writing force per unit area as strength per unit of measurement area we can derive the dimensional expression for R equally-

\(\begin{array}{l}R=\frac{\left ( \frac{force}{area} \right )\times volume}{amount\;\times temperature}\end{array} \)

Surface area and Book can exist expressed in terms of length equally book=(length)³ and expanse = (length)²

Thus we get-

\(\begin{array}{l}R=\frac{\left ( \frac{strength}{length^{2}} \correct )\times \left ( length \right )^{3}}{amount\;\times temperature}=\frac{force\;\times\; length}{amount\;\times \;temperature}\finish{assortment} \)

Since forcefulness times length is piece of work we get-

\(\begin{array}{l}R=\frac{work}{amount\;\times \;temperature}\end{assortment} \)

Thus gas constant can be interpreted as work per degree per mole.

Hope you have understood what is gas constant. the gas constant value in different units along with the ideal gas formula and Application in physics.

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To know more about Boyle's police force, click on the video beneath.

Frequently Asked Questions – FAQs

What is the formula to calculate the specific gas constant?

Specific gas constant is given by the formula:

\(\begin{array}{l}R_{specific}=\frac{R}{M}\stop{assortment} \)

What is the value of Gas constant (R)?

The value of Gas abiding is R = viii.3144598(48) J⋅mol⁻¹⋅1000⁻¹

Write the formula for an platonic gas equation.

The ideal gas equation is given by PV=nRT.

What is a gas constant also known equally?

Gas constant is also known as ideal gas abiding or molar gas constant or universal gas abiding.

The ideal gas abiding is the combination of which laws?

The ideal gas constant is the combination of:

Boyle's law
Charles's Law
Gay-Lussac'due south police
Avogadro's number