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Multiple Choice
What is the total electric charge on 1.0 kg of protons?
A
1.00 C
B
1.60 x 10^-19 C
C
6.02 x 10^23 C
D
9.58 x 10^7 C
Verified step by step guidance
1
First, understand that the charge of a single proton is approximately 1.60 x 10^-19 C (Coulombs). This is a fundamental constant in physics.
Next, determine the number of protons in 1.0 kg of protons. To do this, use the molar mass of a proton, which is approximately 1.67 x 10^-27 kg. Calculate the number of moles of protons in 1.0 kg by dividing the mass by the molar mass.
Use Avogadro's number, which is approximately 6.02 x 10^23, to find the number of protons. Multiply the number of moles by Avogadro's number to get the total number of protons.
Now, calculate the total electric charge by multiplying the total number of protons by the charge of a single proton (1.60 x 10^-19 C).
Finally, ensure that your units are consistent and check your calculations to verify the total electric charge on 1.0 kg of protons.