A given amount of heat cannot be completely converted into work. However it is possible to convert a given amount of work
Completely into heat this apparently contradictory statement results from the

Options

A. zeroth law of thermodynamics
B. second law of thermodynamics
C. second law of thermodynamic
D. third law of thermodynamics

Answer

To solve the question, we need to analyze the statements regarding the conversion of heat and work, and identify the law of thermodynamics that explains this phenomenon.

### Step-by-Step Solution:

1. **Understanding the Concepts**:
- Heat and work are two forms of energy. The conversion between them is a key topic in thermodynamics.
- The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another.

2. **Analyzing the First Statement**:
- The statement "A given amount of heat cannot be completely converted into work" relates to the efficiency of energy conversion.
- According to the second law of thermodynamics, not all heat energy can be converted into work due to inherent inefficiencies and the tendency of energy to disperse.

3. **Analyzing the Second Statement**:
- The statement "it is possible to convert a given amount of work completely into heat" is consistent with the principles of thermodynamics.
- When work is done on a system, it can be fully converted into heat energy, as there are no restrictions on this conversion.

4. **Identifying the Contradiction**:
- The apparent contradiction arises from the different behaviors of heat and work as described by the laws of thermodynamics.
- The first law allows for energy transformation, but the second law imposes limitations on the conversion of heat to work.

5. **Conclusion**:
- The contradictory statement results from the **second law of thermodynamics**, which states that it is impossible to convert all heat energy into work due to entropy and energy loss in the process.

### Final Answer:
The contradictory statement results from the **second law of thermodynamics**.