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antiseptic1488 [7]
3 years ago
6

The current supplied by a battery as a function of time is ) -(0.64 A)e-/(6.0 hr). What is the total number of electrons transpo

rted from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 x 10-19 C) 3.2 x 1022 3.8 x 1023 8.6 1022 2.4 1019
Physics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

The total number of electrons is 8.6\times10^{22}

(3) is correct option.

Explanation:

Given that,

The current equation is

I=0.64 e^{\dfrac{-t}{6.0 hr}}

We know that,

The formula of charge

q=\int_{0}^{\infty}{I dt}

q=\int_{0}^{\infty}{0.64 e^{\dfrac{-t}{6.0 hr}}dt

q=0.64\int_{0}^{\infty}{e^{\dfrac{-t}{6.0 hr}}dt

q=0.64\int_{0}^{\infty}{e^{\dfrac{-t}{21600}}dt

q=0.64(21600e^{\dfrac{-t}{21600}})_{0}^{\infty}

q=0.64(0-21600)

q=0.64\times21600

q=13824\ C

We need to calculate the number of electron

Using formula of charge

q=ne

n=\dfrac{q}{e}

n=\dfrac{13824}{1.6\times10^{-19}}

n=8.6\times10^{22}

Hence, The total number of electrons is 8.6\times10^{22}

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