Q. 7

Consider the quantity of an ideal gas where M is the mass of the gas. It depends on the
A. temperature of the gas

B. volume of the gas

C. pressure of the gas

D. nature of the gas

Answer :

In quantity ,


M=mass of the gas


k= Boltzmann constant


t= temperature


p=pressure


V=volume


We know ideal gas equation


pV=nRt


Where V= volume of gas


R=gas constant =8.3JK-1mol-1


t=temperature


n=number of moles of gas


p=pressure of gas.


Gas constant R=kNA


Where k=Boltzmann constant


NA=Avogadro number


So, we can ideal gas equation as


pV=nkNAt



Now, we know that


n=number of molecules of gas ……(ii)


Therefore, from equation (i) and (ii)


Number of molecules of gas= …. (iii)


Using equation (iii) quantity becomes



Hence, quantity depends on the nature of gas.

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