Final answer:
The magnitude of the heat rejected to the cold reservoir is 230.48 W.
Step-by-step explanation:
A heat engine has an efficiency of 33% and transfers 344 W of heat from the hot reservoir. To find the magnitude of the heat rejected to the cold reservoir, we can use the formula:
Qc = Qh - W
Where Qc is the heat rejected, Qh is the heat transferred from the hot reservoir, and W is the work done by the engine.
Since we are given Qh and the efficiency, we can express Qc as:
Qc = (1 - Eff) * Qh
Substituting the known values:
Qc = (1 - 0.33) * 344 W
Qc = 0.67 * 344 W
Qc = 230.48 W
Therefore, the magnitude of the heat rejected to the cold reservoir is 230.48 W.