A heat engine operates between a cold reservoir at tempreture `T_(2)=300 K` and a hot reservior at tempreture `T_(1)`. It takes 200 J of heat from the hot reservior and delivers 120 J of heat to the cold reservior in a cycle. What could be the minimum tempreture of the hot reservior ?

Explanation

To solve the problem, we need to analyze the operation of the heat engine and apply the concepts of thermodynamics, particularly the Carnot efficiency.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Cold reservoir temperature, \( T_2 = 300 \, K \)
- Heat absorbed from the hot reservoir, \( Q_1 = 200 \, J \)
- Heat rejected to the cold reservoir, \( Q_2 = 120 \, J \)
...