Bathroom and kitchen exhaust fans also can transmit large volumes of moist humid air into the attic or other confined spaces.
Can you use bathroom fan in kitchen.
That would be 960 cf assuming 8 ft ceilings.
The general rule is 1 cfm per square foot of space with standard 8 foot ceilings.
You say the kitchen is 120 sf but you need to take in to account the height.
A bath fan just won t cut it.
This would be the minimum ventilation.
An alternate approach is to use a ducted range hood or downdraft exhaust and a bathroom ventilation fan to exhaust the general odors and moisture in the kitchen.
You cannot by code and should not by practical reasoning share exhaust venting between a kitchen exhaust and a bathroom exhaust fan.
As a general rule bathroom fans are not suitable for use in the kitchen as many have no filter inside them.
Fans installed above kitchen ranges must be listed for that application by ul and must be designed to handle grease and high temperatures.
So if you have an 8 foot x 10 foot bathroom you would need at least an 80 cfm fan.
Depending on your usage you might consider a slightly larger fan to make sure you have enough power to clear the room.