Answer :
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.
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.
