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Chapter 21: Q59P (page 629)

What is the total charge in coulombs of75.0kgof electrons?

Short Answer

Expert verified

q=鈭�1.32脳1013C

Step by step solution

01

Given

Mass of collection of electrons is,M=75.0鈥塳驳

02

Understanding the concept

Charges are quantized. It means the charge on any object is equal to the integer multiple of an elementary charge. The charge will always be present in an integer number and never as a fraction.

03

Calculate the total charge in coulombs of 75.0 kg of electrons

The mass of an electron ism=9.11脳10鈭�31kg, so the number of electrons in a collection with total massM=75.0鈥塳驳.

n=Mm=75.0kg9.11脳10鈭�31kg=8.23脳10+31electrons

The total charge of the collection is,

q=鈭�ne=鈭�(8.23脳10+31electrons)(1.60脳10鈭�19C)=鈭�1.32脳1013C

Therefore,the total charge of the collection is1.32脳1013C.

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