Question

Prove that
d = PM/RT

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Answer 1

Topic

Ideal Gas

To Prove

d = PM / RT

Proof

The equation of Ideal Gas is

PV = nRT

where

• P = Pressure
• V = Volume
• n = Number of Moles
• R = Real Gas Constant
• T = Temperature

Solving,

PV = nRT

n = Given Mass / Molar Mass

PV = w / M × R × T

PV / RT = w / M

PM / RT = w / V

d = density = Mass / Volume

PM / RT = d

Hence, Proved.

here

• w is Given Mass and

• M is Molar Mass

Note :-

Ideal Gas Equation can be applied only for Ideal Gas not for the Real Gas. Thus, the proved formula is only applicable to Ideal Gas.

Answer 2

Answer:

d=PM/RT

Explanation:

let

P=presure

M=molar mass

m=mass

n=no. of moles

R=general gas constant

T=temperature

Solution:

So,

we know that

PV=nRT                        n=mass/molar mass

so

PV=m/M*R*T

PV/RT=m/M

PM/RT=m/V                  d=m/V

PM/RT=d

hence proved that

d=PM/RT