vliu732

20.01.2021 •

Mathematics

The charge on one electron is approximately 1.60 x 1019 coulombs. One Faraday is equal to the total charge on 6.02 x 1023 electrons.
What in coulombs is the charge on one Faraday?

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Ответ:

kameron1337

16.02.2023

Mathematics

The base is: $3 \sqrt[3]{4}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{4}(\sqrt[3]{108})^x$

Required

The base

Expand 108

$f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x$

Rewrite the exponent as:

$f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x$

Expand

$f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x$

$f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x$

Rewrite as:

$f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x$

An exponential function has the following form:

y=ab^x

Where

$b \to base$

By comparison:

$b =3 \sqrt[3]{4}$

So, the base is: $3 \sqrt[3]{4}$

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The charge on one electron is approximately 1.60 x 1019 coulombs. One Faraday is equal to the total charge on 6.02 x 1023 electrons. What in coulombs is the charge on one Faraday?