What volume of air will be expelled from a vessel containing 400 cm³ at 7°C , when it is heated to 27°C at same pressure?
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Answer:-
- Volume of air expelled is 28.5 cm³.
Given:-
- Initial volume of vessel (Vi) = 400cm³
- Initial temperature of vessel (Ti) = 7°C = 273 +7 = 280K
- Final temperature of vessel (Tf) = 27°C = 300K
To Find:-
- Final volume of vessel (Vf) = ??
or
- Volume of air that will be expelled from the vessel .
Formula used:-
Charles law i.e V1/T1 = V2/T2
Solution:-
By using Charles law , we have
=> Vi/Ti = Vf/Tf
=> 400/280 = Vf/300
=> 40/28 = Vf/300
=> 10/7 = Vf/300
=> 10 × 300/7 = Vf
=> 428.5 = Vf
Now:-
Volume of air expelled = Vf - Vi
Volume of air expelled = 428.5 - 400 cm³
Volume of air expelled = 28.5 cm³.
Therefore:-
Volume of air expelled is 28.5 cm³.
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