1.

A sample of hydrogen of mass `6g` is allowed to expand isothermally at `27^(@)C` till its volume is doubled. (a) How may moles of hydrogen are there? (b) What is final temperature of `H_(2)`? (c ) Caculate work done during expansion.

Answer» (a) Total mass of hydrogen `=6g`. As molar mass of hyderogen is 2 gram, therefore, number of moles of hydrogen `=6//2=3`.
(b) As expansion is isothermal, temperature remains constant at `27^(@)C`.
(c ) `W=2.3026 nRT"log"_(10)(V_(2))/(V_(1))`
`=2.3026xx3xx8.31xx(27+273)log_(10)2`
`=2.3026xx3xx8.31xx300xx0.3010`
`=5183.5J`


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