Calculate the number of degrees of freedom of molecules of hydrogen in 1 cc of hydrogen gas at NTP.

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2.344×1016

1.344×1020

2.124×1021

4.212×1020

answer is B.

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Detailed Solution

Total number of degrees of freedom in a thermodynamical system = number of degrees of freedom associated per molecule x number of molecules,As given molecules are of hydrogen.∴ Volume occupied by 1 mole = 1 mole of the gas at NTP = 22400 mL = 22400 ccAny ideal gas has a molar volume of 22400 mL (cc) at NTP.∴Number of molecules in 1 cc of hydrogen =6.023×102322400=2.688×1019H2 is a diatomic gas, having a total of 5 degrees of freedom (3 translational + 2 rotational)∴ Total degrees of freedom possessed by all the molecules =5×2.688×1019=1.344×1020

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