Number of molecules in a volume of $$4cm3$$ of a perfect mono atomic gas at some temperature T and at a pressure of $$2cm$$ of mercury is close to? (Given$$, mean kinetic energy of a molecule $$(at$$ $$T) is $$4$$×$$10$$−$$14$$ erg,$$g=980$$ $$cm/s2$$,density of $$mercury=13.6$$ $$g/cm3)$$

Question

Number of molecules in a volume of $$4cm3$$ of a perfect mono atomic gas at some temperature T and at a pressure of $$2cm$$ of mercury is close to? (Given$$, mean kinetic energy of a molecule $$(at$$ $$T) is $$4$$×$$10$$−$$14$$ erg,$$g=980$$ $$cm/s2$$,density of $$mercury=13.6$$ $$g/cm3)$$

Infinity Learn · Accepted Answer

No of $$molecules=N=PVKTK=Boltzman$$ Constant ​⇒$$N=2h$$ρHggKT⇒$$N=24.13.698023K$$.E,      We $$know32KT=K$$.E⇒$$N=$$ $$3$$×$$13.6$$×$$98044$$×$$10$$−$$14$$ $$=4$$×$$1018$$

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Number of molecules in a volume of 4cm3 of a perfect mono atomic gas at some temperature T and at a pressure of 2cm of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is 4×10−14 erg,g=980 cm/s2,density of mercury=13.6 g/cm3)

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