Answer :

(a)

In kinetic theory of ideal gas, mean speed also known as average speed is given as



Where R=gas constant=8.31Jmol-1K-1


T=temperature of gas


M=molar mass of gas


Given


T=300k


Molar mass of hydrogen gas =2amu=2g/mol=2kg/mol



(b)



Let velocity be u= from part (a)


From figure we can see that


Total Momentum in vertical direction


mucos45-mucos45=0


Total momentum in horizontal direction


musin45-(-musin45)=2musin45=2mumu


Total change momentum of 1 molecules =mu


Total change momentum of n molecules =nmu


We know that,



Let ‘t’ be the time taken to changing the momentum.


So, force per unit second due to 1 molecule=mu


Force per unit second due to n molecule=nmu


Given


Pressure by n molecule=105 Pa


Area=1m2


Pressure =




We know that


Mass of 6.023 of hydrogen molecule=2kg


Mass of 1 hydrogen molecule m =kg


Therefore



Number of molecules strike each square meter of the wall per second=1.2


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