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lara31 [8.8K]
4 years ago
5

Prove dimensionally that: PV=RT

Physics
1 answer:
Natali5045456 [20]4 years ago
7 0

The ideal gas Law

PV = nRT

Where does this come from?

Robert Boyle found

PV = a constant

That is, the product of the pressure of a gas times the volume of a gas is a constant for a given sample of gas. In Boyle's experiments the Temperature (T) did not change, nor did the number of moles (n) of gas present. So Boyle found

PV = (nRT)

but did not explore the effect the temperature, or the number of moles would have on pressure and volume.

Jaques Charles found

V = (a constant) T

That is, the volume of a given sample of gas increases linearly with the temperature if the pressure (P) and the amount of the gas (n) is kept constant. So Charles found

V = (nR/P) T

Avagadro's Postulate

At the same temperature and pressure equal volumes of all gasses contain the same number of molecules.

V = n (a constant)

V = n (RT/P)

Hope that helps!!!! : )

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