Physics, asked by vaishnavi1658, 9 months ago

Ideal gas equation derive thah equation​

Answers

Answered by emilantony03p40hrg
1
Hey mate!

Here is your answer
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The Equation is PV=nRT
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Derivation

According to Boyle’s law, Charles Law and Avogadro’s law

✔️ P= k/v where k is a constant———-(1)
✔️ P= k*T where k is a constant———(2)
✔️ P= k*n where k is a constant———(3)

Combining the three equations, we get

P = k*nt / v
PV = k*nt

Here R is used to denote the constant

PV=nRT

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Answered by Anonymous
1

Explanation:

There are several ways to derive the Ideal Gas Law, but the simplest way is to use the three simple gas laws.

AVOGADRO'S LAW states the volume of a gas is directly proportional to the number of moles.

V ∝ n

BOYLE'S LAW states that the volume of a gas is inversely proportional to its pressure.

V ∝ 1/P

CHARLES'S LAW states that the volume of a gas is directly proportional to its Kelvin temperature.

V ∝ T

If we combine these laws, we get

V ∝ nT/P

We covert the proportionality to an equality

V = knT/P

We replace k with the universal gas constant R and get

V = nRT/P

This can be rearranged to give the IDEAL GAS LAW

PV = nRT

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