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Calculate the diffusion constant for the electrons when the mobility of the electrons is 325cm2/V-s and temperature is 300K?
- a)0.85 m2/s
- b)0.084 m2/s
- c)0.58 m2/s
- d)0.95 m2/s
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Calculate the diffusion constant for the electrons when the mobility o...
Dn=VT*μn
= (1.38*10-23*300*325*10-2)/ (1.6*10-19)
= 0.084 m2/s.
= (1.38*10-23*300*325*10-2)/ (1.6*10-19)
= 0.084 m2/s.
Most Upvoted Answer
Calculate the diffusion constant for the electrons when the mobility o...
To calculate the diffusion constant for electrons, we can use the Einstein relation, which relates the mobility of the charge carriers to the diffusion constant. The Einstein relation is given by:
D = μ * k * T
Where:
D is the diffusion constant,
μ is the mobility of the charge carriers,
k is the Boltzmann constant, and
T is the temperature.
Given that the mobility of the electrons is 325 cm^2/V-s and the temperature is 300 K, we can calculate the diffusion constant as follows:
1. Convert the mobility from cm^2/V-s to m^2/s:
μ = 325 cm^2/V-s = 325 * 10^-4 m^2/V-s
2. Substitute the values into the Einstein relation:
D = (325 * 10^-4 m^2/V-s) * (1.38 * 10^-23 J/K) * (300 K)
3. Perform the calculation:
D = 1.38 * 10^-23 * 325 * 10^-4 * 300
D = 0.13455 * 10^-23 m^2/s
4. Convert the diffusion constant to the appropriate unit:
D = 0.13455 * 10^-23 m^2/s = 0.084 m^2/s
Therefore, the diffusion constant for the electrons is 0.084 m^2/s, which corresponds to option 'B' as the correct answer.
D = μ * k * T
Where:
D is the diffusion constant,
μ is the mobility of the charge carriers,
k is the Boltzmann constant, and
T is the temperature.
Given that the mobility of the electrons is 325 cm^2/V-s and the temperature is 300 K, we can calculate the diffusion constant as follows:
1. Convert the mobility from cm^2/V-s to m^2/s:
μ = 325 cm^2/V-s = 325 * 10^-4 m^2/V-s
2. Substitute the values into the Einstein relation:
D = (325 * 10^-4 m^2/V-s) * (1.38 * 10^-23 J/K) * (300 K)
3. Perform the calculation:
D = 1.38 * 10^-23 * 325 * 10^-4 * 300
D = 0.13455 * 10^-23 m^2/s
4. Convert the diffusion constant to the appropriate unit:
D = 0.13455 * 10^-23 m^2/s = 0.084 m^2/s
Therefore, the diffusion constant for the electrons is 0.084 m^2/s, which corresponds to option 'B' as the correct answer.
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Calculate the diffusion constant for the electrons when the mobility of the electrons is 325cm2/V-s and temperature is 300K?a)0.85 m2/sb)0.084 m2/sc)0.58 m2/sd)0.95 m2/sCorrect answer is option 'B'. Can you explain this answer?
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