Yes, solving previous years' papers of UPSC Chemistry optional can help in improving your ability to analyze and interpret thermodynamic data and calculations. Here's how:

1. Familiarization with the Exam Pattern:
- Solving previous years' papers will give you an understanding of the exam pattern, types of questions asked, and the level of difficulty.
- It will help you identify the areas where you need to focus more and the topics that are frequently asked in the exam.

2. Exposure to Different Types of Questions:
- By solving previous years' papers, you will come across various types of questions related to thermodynamics.
- This exposure will enhance your ability to analyze and interpret different types of thermodynamic data and calculations.
- You will become familiar with the different formats of questions, such as multiple-choice, numerical-based, and descriptive questions.

3. Application of Concepts:
- Solving previous years' papers will require you to apply your knowledge of thermodynamics concepts to solve problems.
- This will help you develop a deeper understanding of the subject and improve your ability to analyze and interpret thermodynamic data.
- You will gain experience in solving complex thermodynamics problems, which will be beneficial during the actual exam.

4. Time Management:
- Solving previous years' papers will help you practice time management skills.
- The UPSC exam is time-bound, and solving previous years' papers will give you an idea of how to allocate your time efficiently during the exam.
- You will learn to identify the questions that can be solved quickly and the ones that require more time and effort.

5. Identifying Weak Areas:
- By solving previous years' papers, you will be able to identify your weak areas in thermodynamics.
- This will help you focus your preparation on those specific topics and improve your understanding and analytical skills in those areas.
- Regularly practicing previous years' papers will allow you to track your progress and see improvements in your ability to analyze and interpret thermodynamic data.

Overall, solving previous years' papers of UPSC Chemistry optional is an effective strategy to improve your ability to analyze and interpret thermodynamic data and calculations. It provides exposure to different types of questions, helps in the application of concepts, enhances time management skills, and assists in identifying weak areas for targeted preparation.