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Ch.2 - Atoms, Molecules, and Ions
Brown - Chemistry: The Central Science 15th Edition
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Tutti i libri di testoBrown 15th EditionCh.2 - Atoms, Molecules, and IonsProblema 93b
Capitolo 2, Problema 93b

Suppose a scientist repeats the Millikan oil-drop experiment but reports the charges on the drops using an unusual (and imaginary) unit called the warmomb (wa). The scientist obtains the following data for four of the drops: Droplet Calculated Charge (wa) A 3.84⨉10−8 B 4.80⨉10−8 C 2.88⨉10−8 D 8.64⨉10−8 (b) From these data, what is the best choice for the charge of the electron in warmombs?

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Identify the smallest charge value among the given data, as the charge of the electron is the fundamental unit of charge. In this case, look for the smallest charge value from droplets A, B, C, and D.
Assess if the charges of the other droplets can be expressed as multiples of the smallest charge value. This step involves dividing the charges of each droplet by the smallest charge value to see if the results are close to whole numbers.
Calculate the greatest common divisor (GCD) of the charges if the ratios from the previous step are not whole numbers. This helps in determining the most probable value for the fundamental charge unit.
Conclude that the charge of the electron in warmombs is the smallest charge value or the GCD value that allows all other charges to be expressed as whole number multiples of it.
Verify the consistency of the chosen charge value by checking if all droplet charges are indeed integer multiples of this value, reinforcing the choice of the electron charge in warmombs.

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Millikan Oil-Drop Experiment

The Millikan oil-drop experiment was a groundbreaking experiment conducted by Robert Millikan in 1909 to measure the charge of the electron. By balancing the gravitational and electric forces on tiny oil droplets, Millikan was able to determine that the charge of the electron is quantized, meaning it can only take on certain discrete values. This experiment provided strong evidence for the existence of the electron and helped establish the fundamental unit of electric charge.
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04:44
Millikan Oil Drop

Quantization of Charge

Quantization of charge refers to the principle that electric charge exists in discrete units rather than a continuous range. In the context of the Millikan experiment, the charges measured on the oil droplets were found to be integer multiples of a fundamental charge, which is the charge of a single electron. This concept is crucial for understanding how to deduce the charge of the electron from the experimental data provided.
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01:53
Formal Charge

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. In this scenario, the scientist reports the charge in an imaginary unit called warmombs (wa). To find the charge of the electron in this new unit, one must analyze the data provided and identify the common factor among the measured charges, which will allow for the determination of the fundamental charge in warmombs.
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01:56
Conversion Factors
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Suppose a scientist repeats the Millikan oil-drop experiment but reports the charges on the drops using an unusual (and imaginary) unit called the warmomb (wa). The scientist obtains the following data for four of the drops: Droplet Calculated Charge (wa) A 3.84⨉10−8 B 4.80⨉10−8 C 2.88⨉10−8 D 8.64⨉10−8 (d) What is the conversion factor between warmombs and coulombs?

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Suppose a scientist repeats the Millikan oil-drop experiment but reports the charges on the drops using an unusual (and imaginary) unit called the warmomb (wa). The scientist obtains the following data for four of the drops: Droplet Calculated Charge (wa) A 3.84⨉10−8 B 4.80⨉10−8 C 2.88⨉10−8 D 8.64⨉10−8 (c) Based on your answer to part (b), how many electrons are there on each of the droplets?

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Suppose a scientist repeats the Millikan oil-drop experiment but reports the charges on the drops using an unusual (and imaginary) unit called the warmomb (wa). The scientist obtains the following data for four of the drops: Droplet Calculated Charge (wa) A 3.84⨉10−8 B 4.80⨉10−8 C 2.88⨉10−8 D 8.64⨉10−8 (a) If all the droplets were the same size, which would fall most slowly through the apparatus?

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