An inventor claims to have developed an engine that during a certain time interval takes in 110 MJ of heat at 415 K, rejects 50 MJ of heat at 212 K while manages to do 16.7 kW of work. Do you agree with the inventors's claim?

Explanation

To determine whether the inventor's claim about the engine is valid, we need to analyze the given data and apply the principles of thermodynamics, specifically the Carnot efficiency.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Heat absorbed (Q1) = 110 MJ = \( 110 \times 10^6 \) J
- Heat rejected (Q2) = 50 MJ = \( 50 \times 10^6 \) J
- Work done (W) = 16.7 kW = \( 16.7 \times 10^3 \) W
...