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  • Can someone explain The mass of a hydrogen molecule is 3.32×10−27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45o to the normal, and rebound elastically with a speed of 103 m/s, then the pr

The mass of a hydrogen molecule is 3.32×10−27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45o to the normal, and rebound elastically with a speed of 103 m/s, then the pressure on the wall is nearly :

  • Option 1)

    4.70×102 N/m2

  • Option 2)

    2.35×103 N/m2

  • Option 3)

    4.70×103 N/m2

  • Option 4)

    2.35×102 N/m2

 

Answers (2)

best_answer

As we learnt that

 

Newton's 2nd Law -

F\propto \frac{dp}{dt}

F=\tfrac{kdp}{dt} 

F=\tfrac{d\left (mv \right )}{dt} 

F=\tfrac{m\left (dv \right )}{dt}

\frac{dv}{dt}=a

Therefore  F=ma

- wherein

K=1 in C.G.S & S.I

Force can be defined as rate of change of momentum.

 

  

F_{avg}=(2mv\: cos\theta )N

N= number of molecule striking per second

\Rightarrow F_{avg}=2\times 3.32\times 10^{-27}\times 10^{3}\times \frac{1}{\sqrt{2}}\times 10^{23}

               = 4.7\times 10^{-1}N

Pressure=\frac{F_{avg}}{A}= \frac{4.7\times 10^{-1}}{2\times 10^{-4}}N/m^{2}


Option 1)

4.70×102 N/m2

This is incorrect

Option 2)

2.35×103 N/m2

This is correct

Option 3)

4.70×103 N/m2

This is incorrect

Option 4)

2.35×102 N/m2

This is incorrect

Posted by

divya.saini

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