Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of
1 answer:
Answer:
Wolfrich lived in Portugal 9 months and 5 months in Brazil.
Step-by-step explanation:
The question is wrong. This are the corrections for the numbers :
141414 months is actually 14 months.
130130130 new words per month is actually 130 new words per month.
150150150 new words per month is actually 150 new words per month.
192019201920 new words is actually 1920 new words.
In order to solve this exercise, we are going to make a system of equations defining the following variables :
Months he lived in Portugal.
Months he lived in Brazil.
We know that Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. Therefore, the first equation of our system of equations will be :
(I)
He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. Therefore, our second and final equation of our system of equations will be :
(II)
With (I) and (II) we form our linear equation system :
From equation (I) we can write
(III)
If we use (III) in (II) :
If we replace this information in (I) :
We find that Wolfrich lived 9 months in Portugal and 5 months in Brazil. One way to verifies the answer is to replace the values of and
that we found in the equations (I) and (II) :
And finally
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Complete Question
Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.
Answer:
a
The Fermi function for the energy KT is
b
The temperature is
Step-by-step explanation:
From the question we are told that
The energy considered is
Generally the Fermi function is mathematically represented as
Here K is the Boltzmann constant with value
is the Fermi energy
is the initial energy level which is mathematically represented as
So
=>
=>
=>
Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the Fermi function as
Here is that energy level that is 0.5 ev above the Fermi energy
=>
=>
=>
=>
=>
Taking natural log of both sides
=>
=>
Note eV is electron volt and the equivalence in Joule is
So
=>