An ideal gas equation can be written as, P = ρRT M _ 0 where ρ and M _ 0 are respectively,

Correct answer: C. mass density, molar mass Recall the ideal gas equation, in terms of pressure, volume and temperature,& PV = nRT⇒ P = (1)/(V) · (m)/(M0) · RT , here~ R , is the universal gas constant,~ ⇒ P = ((m)/(V))((RT)/(M0))⇒ P = (ρRT)/(M0) , the density is defined as mass per unit volume,~ ρ = (m)/(v) ,and,~ M _ 0 = the& molar mass.

NEET 2020

Exam: NEET
Year: 2020
Subject: Physics
Chapter: Kinetic Theory of Gases

NEET 2020 · Physics · Kinetic Theory of Gases

An ideal gas equation can be written as, P = ρRT M _ 0 where ρ and...

An ideal gas equation can be written as,

P = \dfrac{ρRT}{{M}_{0}}

where

ρ

and

{M}_{0}

are respectively,

Options

Amass density, mass of the gas
Bnumber density, molar mass
Cmass density, molar mass
Dnumber density, mass of the gas

Correct answer

C. mass density, molar mass

Step-by-step solution

Recall the ideal gas equation, in terms of pressure, volume and temperature,& $PV = nRT⇒ P = \dfrac{1}{V} \cdot \dfrac{m}{M0} \cdot RT$ , here~ $R$ , is the universal gas constant,~

$⇒ P = \left(\dfrac{m}{V}\right)\left(\dfrac{RT}{M0}\right)⇒ P = \dfrac{ρRT}{M0}$ , the density is defined as mass per unit volume,~ $ρ = \dfrac{m}{v}$ ,and,~ ${M}_{0} =$ the& molar mass.

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