1.

In a 2.5 L flask at 27^(@)C temperature, thepressure of a gas was found to be8 atm. If41 xx 10^(23) molecules of thesame gas are introduced into thecontainer, thetemperature changed toT_(2).Thepressure of gas is found to be 10 atm. Find out thevalue ofT_(2).

Answer»

253 K
347 K
230 K
370 K

Solution :`6.023 xx 10^(23)` molecules CORRESPOND to 1 mole` 2.41 xx 10^(23) ` molecules correspond to ?
` = (2.41 xx 10^(23) ) / (6.023 xx 10^(23)) = 0.4`moles
Case (i)
`._(1)V_(1) = n_(1).R_(1).""T_(1)`
` 8.(2.5) = n_(1)(0.08).(300)`
`n_(1) = (8(2.5))/((0.08)(300))`
` n_(1) = 0.833` moles
Total moles, `n_(2) = 0.833 + 0.4`
` n_(2) = 1.233`
Case (II)
` P_(2)V_(2) = n_(2)R T_(2)`
` 10(2.5) = 1.233 (0.08). T_(2)`
`T_(2) = 253.4` K


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