Question

Write expressions for ideal gas equation and real gas equation?​

Answer 1

Answer:

Ideal Gas Equation (PV=nRT) - Universal Gas Constant, Laws & Derivations.

One way of writing the equation of state for real gases is PV=RT[1+VB+....], where B is a constant. An approximate expression for B in terms of the Van der Waals' constant 'a' and 'b' is b−RTna.

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Answer 2

Explanation:

Here is your answer,

What is an Ideal Gas Equation?

Ans:-An ideal gas is a theoretical gas composed of a set of randomly-moving point particles that interact only through elastic collisions

Derivation of the Ideal Gas Equation

Let us consider the pressure exerted by the gas to be ‘p,’

The volume of the gas be – ‘v’

Temperature be – T

n – be the number of moles of gas

Universal gas constant – R

According to Boyle’s Law,

At constant n & T, the volume bears an inverse relation with the pressure exerted by a gas.

i.e. v∝1p ………………………………(i)

According to Charles’ Law,

When p & n are constant, the volume of a gas bears a direct relation with the Temperature.

i.e. v∝T ………………………………(ii)

According to Avogadro’s Law,

When p & T are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

i.e. v∝n ………………………………(iii)

Combining all the three equations, we have-

v∝nTp

or pv=nRT

where R is the Universal gas constant, which has a value of 8.314 J/mol-K

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