Question

derive ideal gas equation combining all the gas laws​

Answer 1

Answer:

According to Boyle's Law,

V∝1/P

According to Charles' Law,

V∝T

According to Avogadro's Law,

V∝n

Combining all Laws,

V∝1/P x T x n

PV∝nT

Therefore, PV=nRT

Answer 2

Final answer: PV = n R T

Given that: We are given gas laws​.

To find: We have to find ideal gas equation by combining all the gas laws.​

Explanation:

According to Boyle’s law, at constant number of moles of the gas n and temperature T, the volume of given mass of gas V is inversely proportional to pressure P. i.e.  V α $\frac{1}{P}$According to Charles’s law, at constant number of moles of the gas n and pressure P, the volume of given mass of gas V is directly proportional to temperature T. i.e. V α TAccording to Avogadro’s law, at constant temperature T and pressure P, the volume of given mass of gas V is directly proportional to number of moles of the gas n. i.e. V α nBy combining these gas equations volume of the gas V depends the P, T and n.

    I.e. V α $\frac{nT}{P}$

     by replacing proportionality

         V = $\frac{nRT}{P}$

         PV = n R T

• The equation PV = n R T is called ideal gas equation.

Where proportionality constant R is called universal gas constant for 1 mole of gas.

• Value of R in SI unit = 8.314J K⁻¹mol⁻¹

• In CGS system R = 8.314 * 10⁷erg K⁻¹mol⁻¹

• Since 1 Calore = 4.184 J, we may write R = (8.314/4.184) cal K⁻¹mol⁻¹

      = 1.987 cal K⁻¹mol⁻¹

• In pascal unit of L-atm K⁻¹mol⁻¹ value of R= 0.0821 L-atm K⁻¹mol⁻¹

To know more about the concept please go through the links

https://brainly.in/question/6239862

https://brainly.in/question/22717094

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