The volume of a given mass of a gas at `27^(@)C`, 1 atm is 100cc. What will be its volume at `327^(@)C` ?

Explanation

We have to convert the given temperature in kelvin.
If pressure of a given mass of the gas is kept constant ,then
`v prop T`
`rArr " " V/T =" constant" " "[underset(T ="Temperature of gas")(V="Volume of gas"]]`
`rArr " " (V_(1))/(T_(1)) =(V_(1))/(T_(2))`
`rArr " "V_(2) =V_(1) ((T_(2))/(T_(1)))`
`T_(1) =273 + 27 =300 K`
`T_(2) =273 +327 =600 K`
`" But "" " V_(1) =100cc`
`V_(2) =V_(1) ((600)/(300))`
`V_(2) =2V_(1)`
Note To apply ideal gas equation we must convert the given temperature in kelvin.