Relating Radius r and Number of G-mers g for Thermodynamics

In summary, a thermodynamics question involving the graphing of evaporation and condensation rates as functions of g, the number of g-mers in a droplet with radius r, has arisen. However, the equations for condensation and evaporation are given in terms of r and there is no known equation to relate r and g. After further research, it was found that g*m=4(pi)r^3*rho, but it was discovered that E is equal to C at the critical radius r*. This is not accurate because it results in the same equation as C, and it is known that they are not equal for all values of g. The question now is what is the equation for E?
  • #1
yukikokami
6
0
for my thermodynamics class we have a question where we need to graph the evaporation and condensation rates as functions of g, the number of g-mers in our droplet of radius r. but condensation and evaporation are given in terms of r... is there an equation to relate r and g?

i've looked online and found nothing, nor is it in our notes.

cheers!
 
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  • #2
hokay, so, we found that g*m=4(pi)r^3*rho.

but now we realized that our E is just C* (the condensation rate at the critical radius r*). which can't be right because that's the same equation as C... we know they aren't equal throughout the entire graph because then every g would produce an r*.

so what's E?
 

1. What is the relationship between radius r and number of G-mers g in thermodynamics?

The relationship between radius r and number of G-mers g in thermodynamics is a direct one. As the number of G-mers increases, the radius also increases proportionally. This means that as the size of the system increases, the radius also increases, and vice versa.

2. How does the size of the system affect the radius in thermodynamics?

The size of the system directly affects the radius in thermodynamics. As the size of the system increases, the radius also increases, and vice versa. This is because the number of G-mers in the system increases with its size, leading to a larger radius.

3. Is there a mathematical formula for calculating the relationship between radius r and number of G-mers g in thermodynamics?

Yes, there is a mathematical formula for calculating the relationship between radius r and number of G-mers g in thermodynamics. It is given by r = g^(1/3), where r is the radius and g is the number of G-mers.

4. Can the relationship between radius r and number of G-mers g in thermodynamics change?

Yes, the relationship between radius r and number of G-mers g in thermodynamics can change depending on the conditions of the system. For example, if the temperature or pressure of the system changes, the number of G-mers may also change, altering the relationship between radius and number of G-mers.

5. How does the relationship between radius r and number of G-mers g in thermodynamics affect the overall thermodynamic properties of a system?

The relationship between radius r and number of G-mers g in thermodynamics directly affects the overall thermodynamic properties of a system. This is because the radius and number of G-mers are key factors in determining the energy and entropy of a system. Any changes in these values can impact the overall thermodynamic behavior of the system.

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