Consider the following statements and arrange in the order of true/false as given in the codes.
`S_(1)`: Change in state function between two states is a definite quantity and does not depend on path.
`S_(2)`: Intensive properties can't be algebraically added or subtracted.
`S_(3)`: Ration of two extensive properties always result into a parameter that depends on amount of substance.
`S_(4)`: Molar heat capacity is a path function.
The correct order of True//false of the above statement is :

Options

A. F T F T
B. F F F T
C. T T F T
D. T T T F

Explanation

To determine the order of true/false for the given statements, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Statement S1**: "Change in state function between two states is a definite quantity and does not depend on path."
- **Analysis**: A state function is a property whose value depends only on the state of the system, not on how it got there. Therefore, the change in a state function between two states is indeed a definite quantity and does not depend on the path taken.
- **Conclusion**: **True (T)**

2. **Statement S2**: "Intensive properties can't be algebraically added or subtracted."
- **Analysis**: Intensive properties are those that do not depend on the amount of substance present (e.g., temperature, pressure). They cannot be added or subtracted in a meaningful way since they are not dependent on quantity.
- **Conclusion**: **True (T)**

3. **Statement S3**: "Ratio of two extensive properties always results in a parameter that depends on the amount of substance."
- **Analysis**: Extensive properties depend on the amount of substance (e.g., mass, volume). However, the ratio of two extensive properties results in an intensive property, which does not depend on the amount of substance. Therefore, this statement is incorrect.
- **Conclusion**: **False (F)**

4. **Statement S4**: "Molar heat capacity is a path function."
- **Analysis**: Molar heat capacity is an extensive property that can be defined for a system and is dependent on the amount of substance. It is not a path function; rather, it is a state function as it depends on the state of the system (temperature, pressure) and not on the path taken to reach that state.
- **Conclusion**: **False (F)**

### Final Order of True/False Statements:
- S1: True (T)
- S2: True (T)
- S3: False (F)
- S4: False (F)

Thus, the correct order of true/false for the statements is: **T, T, F, F**.