An ideal gas equation can be written as, P=ρRTM_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·(mM_0·R)/(T, here R, is the universal gas constant, ⇒P=mV)RTM_0⇒P=ρRTM_0, the density is defined as mass per unit volume, ρ=m/v,and, M_0=the molar mass.

Q101 / 180 · NEET 2020 (Phase 2) · Physics

An ideal gas equation can be written as, $P = \frac{ρ R T}{M_{0}}$ where $ρ$ and $M_{0}$ are respectively,

A
mass density, mass of the gas
B
number density, molar mass
Correct answer
C
mass density, molar mass
D
number density, mass of the gas

Solution

Recall the ideal gas equation, in terms of pressure, volume and temperature, $P V = n R T$ $\Rightarrow P = \frac{1}{V} \cdot \frac{m}{M_{0}} \cdot R T$ , here $R$ , is the universal gas constant,

$\Rightarrow P = (\frac{m}{V}) (\frac{R T}{M_{0}})$ $\Rightarrow P = \frac{ρ R T}{M_{0}}$ , the density is defined as mass per unit volume, $ρ = \frac{m}{v}$ ,and, $M_{0} =$ the molar mass.

Hence, the correct answer is option: 'C'.

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An ideal gas equation can be written as, P=ρRTM0 where ρ and M0 are respectively,

Solution

Relevant Questions

An ideal gas equation can be written as, $P = \frac{ρ R T}{M_{0}}$ where $ρ$ and $M_{0}$ are respectively,