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The Clausius-Clapeyron Equation describes:

A. the relationship between temperature (T) and vapor pressure (P\textsubscript{vap}); the two properties go in opposite directions and the relationship is linear.
B. the relationship between temperature (T) and vapor pressure (P\textsubscript{vap}); the two properties go in the same direction and the relationship is non-linear.
C. the relationship between temperature (T) and vapor pressure (P\textsubscript{vap}); the two properties go in opposite directions and the relationship is non-linear.
D. the relationship between temperature (T) and vapor pressure (P\textsubscript{vap}); the two properties go in the same direction and the relationship is linear.


Sagot :

The Clausius-Clapeyron equation describes the relationship between temperature (T) and vapor pressure (Pvap). Given the choices:

1. The relationship between temperature (T) and vapor pressure (Pvap); the two properties go in the opposite directions and the relationship is linear.
2. The relationship between temperature (T) and vapor pressure (Pvap); the two properties go in the same direction and the relationship is non-linear.
3. The relationship between temperature (T) and vapor pressure (Pvap); the two properties go in the opposite directions and the relationship is non-linear.
4. The relationship between temperature (T) and vapor pressure (Pvap); the two properties go in the same direction and the relationship is linear.

Here is how to determine the correct option:

1. Identify the directionality of the relationship:
- If temperature (T) increases, vapor pressure (Pvap) also increases.
- This means that T and Pvap go in the same direction.

2. Identify the nature of the relationship:
- The Clausius-Clapeyron equation is given as:
[tex]\[ \frac{{d(\ln P)}}{{dT}} = \frac{{\Delta H_{vap}}}{{R T^2}} \][/tex]
- The above equation shows an exponential relationship (non-linear).

Considering these criteria, the correct description of the Clausius-Clapeyron equation from the given options is:

The relationship between temperature (T) and vapor pressure (Pvap); the two properties go in the same direction and the relationship is non-linear.

Thus, the answer is option 2.