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  • Confused! kindly explain, The mass of molecule A is twice that of molecule B. The root mean square velocity of molecule A is twice that of molecule B. If two containers of equal volume have same number of molecules, the ratio of pressure PA/PB will b

The mass of molecule A is twice that of molecule B. The root mean square velocity of molecule A is twice that of molecule B. If two containers of equal volume have same number of molecules, the ratio of pressure PA/PB will be : 

  • Option 1)

    8 : 1

  • Option 2)

    1 : 8

  • Option 3)

    4 : 1

  • Option 4)

    1 : 4

 

Answers (1)

best_answer

As we learnt in 

Kinetic Theory of Gases -

Average kinetic energy of the gas molecules is directly proportional to the absolute temperature.

 

-

 

m_{A}= 2m_{B}

u_{A}= 2u_{B}

n_{A}= n_{B}

v_{A}= v_{B}

\frac{P_{A}V_{A}}{P_{B}V_{B}}= \frac{\frac{1}{3}m_{A}n_{A}u^{2}_{A}}{\frac{1}{3}m_{B}n_{B}u^{2}_{B}}


Option 1)

8 : 1

Correct

Option 2)

1 : 8

Incorrect

Option 3)

4 : 1

Incorrect

Option 4)

1 : 4

Incorrect

Posted by

Aadil

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