Q25 of 31 Page 94

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

Given:


Volume of hydrogen gas=1cc


We know that


At NTP, the volume occupied by 1 mole of gas molecule=22.4litres=22400


As hydrogen is a diatomic gas, no. of degree of freedom for one molecule=5 (3 translational and 2 rotational)


No. of molecules in one mole of gas=


No. of molecules in 22400cc of hydrogen=


∴ no. of molecules in 1cc of hydrogen=


Since one molecule has 5 degrees of freedom, therefore no. of degrees of freedom in n molecules



Therefore total number of degrees of freedom of molecules of hydrogen is


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