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Suppose that the resistance between the walls of a biological cell is 4.2 × 109 Ω. (a) What is the current when the potential difference between the walls is 75 mV? (b) If the current is composed of Na+ ions (q = +e), how many such ions flow in 0.74 s?

Respuesta :

Answer:

(a) Current will be [tex]17.857\times 10^{-12}A[/tex]

(b) Number of ions will be [tex]8.258\times 10^6[/tex]

Explanation:

We have given that resistance of the biological cell [tex]R=4.2\times 10^9ohm[/tex]

(a) We have given potential difference of 75 mV

So [tex]V=75\times 10^{-3}volt[/tex]

From ohm's law we know that current is given by

[tex]i=\frac{V}{R}=\frac{75\times 10^{-3}}{4.2\times 10^9}=17.857\times 10^{-12}A[/tex]

(b) We have given time t = 0.74 sec

We have to find the charge

We know that charge is given by Q = it, here i is current and t is time  

So charge will be [tex]Q=17.857\times 10^{-12}\times 0.74=13.214\times 10^{-12}C[/tex]

So number of ions will be [tex]n=\frac{13.214\times 10^{-12}}{1.6\times 10^{-19}}=8.258\times 10^6[/tex]