We have 0.5 g of hydrogen gas in a cubic chamber of size 3cm kept at NTP. The gas in the chamber is compressed keeping the temperature constant till a final pressure of 100 atm. Is one justified in assuming the ideal gas law, in the final state? (Hydrogen molecules can be consider as spheres of radius 1 A^o ).

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Payal Gupta | Contributor-Level 10

8 months ago

This is a short answer type question as classified in NCERT Exemplar

Radius = 1A^o

Volume of hydrogen molecules = 4/3 $π$ r³

= 4/3 (3.14) (10^-10)³ $\approx 4 * 10^{- 30}$ m³

Number of moles of H₂ = mass/molecular mass=0.5/2=0.25

Molecules of H₂ present = number of moles of H₂present $* 6.023 * 10^{23}$

= 0.25 $* 6.023 * 10^{23}$

So volume of molecules present = mole

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physics ncert solutions class 11th 2023

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