Question

Show that, d=PM/RT.(Taken from Madhyamik standard)

Answer 1

PV = nRT (ideal gas equation)

Mass of gass = Volume x density
m = V x D
V = m / D
m = no of moles x Molar mass of gass
m = n x M
=> V = (n x M ) / D

P x (n x M )/ D = n x RT
D = PM / RT

Brainliest !!! Please

Answer 2

Answer:

Prerequisites:

• PV = nRT

Here,

• P refers to Pressure
• V refers to Volume
• n refers to Number of Moles
• R refers to Universal Gas Constant
• T refers to Temperature

Now we know that,

Number of Moles = Given Mass / Molar Mass

Let us denote Given mass as 'm' and Molar Mass as 'M'.

Rewriting the given formula we get,

⇒ PV = ( m / M ) RT

Transposing M to Left Hand Side and V to Right Hand Side we get,

⇒ PM = ( m / V ) RT

We know that Density is Mass / Volume. So Substituting m/V as 'd' we get,

⇒ PM = dRT

⇒ d = PM / RT

Hence Proved !!

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