Respuesta :
Answer: The amount of time needed for 1 mole of electrons to pass through the lamp is 12.33 hrs.
Explanation:
We are given:
Moles of electron = 1 mole
According to mole concept:
1 mole of an atom contains [tex]6.022\times 10^{23}[/tex] number of particles.
We know that:
Charge on 1 electron = [tex]1.6\times 10^{-19}C[/tex]
Charge on 1 mole of electrons = [tex]1.6\times 10^{-19}\times 6.022\times 10^{23}=9.6352\times 10^4C[/tex]
To calculate the time required, we use the equation:
[tex]I=\frac{q}{t}[/tex]
where,
I = current passed = 2.17 A
q = total charge = [tex]9.6352\times 10^4C[/tex]
t = time required = ?
Putting values in above equation, we get:
[tex]2.17A=\frac{9.6352\times 10^4C}{t}\\\\t=\frac{9.6352\times 10^4C}{2.17A}=44402s[/tex]
Converting this into hours, we use the conversion factor:
1 hr = 3600 seconds
So, [tex]44402s\times \frac{1hr}{3600s}=12.33hr[/tex]
Hence, the amount of time needed for 1 mole of electrons to pass through the lamp is 12.33 hrs.
