A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

  • Option 1)

    {P \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kT} \right)}}

  • Option 2)

    {Pm \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kT} \right)}}

  • Option 3)

    {P \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kTV} \right)}}

  • Option 4)

    mkT

 

Answers (1)

 

Ideal gas equation -

PV = nRT
 

 

- wherein

T= Temprature

P= pressure of ideal gas

V= volume

n= numbers of mole

R = universal gas constant

 

 From equation of ideal gas

PM = \rhoRT

Or pm =  \rhoKT -(1)

m = mass of a molecule.

 \rho = density of gas.

K = Boltzmann's constant

=>  \rho = \rho \frac{pm}{kt}

 


Option 1)

{P \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kT} \right)}}

this is the incorrect option

Option 2)

{Pm \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kT} \right)}}

this is the correct option

Option 3)

{P \mathord{\left/ {\vphantom {P {\left( {kT} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {kTV} \right)}}

this is the incorrect option

Option 4)

mkT

this is the incorrect option

Preparation Products

Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Test Series NEET May 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
Test Series NEET May 2022

Take chapter-wise, subject-wise and Complete syllabus mock tests and get an in-depth analysis of your test..

₹ 6999/-
Buy Now
Exams
Articles
Questions