How can heat change if temp is constant?

[toesockshoe]

In my textbook it says an isothermal process occurs when the temperature is constant. It also said taht typically, Q,W, and delta U are not 0 in these processes. My question is how can heat not be 0 if temperature is constant?

Q=mcDeltaT so if Delta T is 0, then Q also has to be 0 right?

 

[Simon Bridge]

Because heat and temperature are different things.

The equation $Q=mc\Delta T$ is for a specific process and makes a bunch of assumptions about the process ... i.e. it assumes no significant change in volume.
Look up "isothermal process":
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/isoth.html

Also see elsewhere in these forums:
https://www.physicsforums.com/threads/heat-transfer-in-an-isothermal-process.641784/

 

[Chestermiller]

In my textbook it says an isothermal process occurs when the temperature is constant. It also said taht typically, Q,W, and delta U are not 0 in these processes. My question is how can heat not be 0 if temperature is constant?

Q=mcDeltaT so if Delta T is 0, then Q also has to be 0 right?

When work is done, this equation does not necessarily give the correct result. For isothermal expansion of an ideal gas, Q = W.