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Multiple Choice
If the charge and mass of one proton is 1.60218 x 10-19 C and 1.673 x 10-24 g respectively, what is the charge of 378 kg of protons?
A
5.24 × 1013 C
B
9.07 × 1014 C
C
4.11 × 1015 C
D
3.62 × 1010 C
Verified step by step guidance
1
First, determine the number of protons in 378 kg. To do this, convert the mass from kilograms to grams by multiplying by 1000, since there are 1000 grams in a kilogram.
Next, calculate the number of protons by dividing the total mass in grams by the mass of a single proton. Use the formula: \( \text{Number of protons} = \frac{\text{Total mass in grams}}{\text{Mass of one proton in grams}} \).
Now, calculate the total charge by multiplying the number of protons by the charge of a single proton. Use the formula: \( \text{Total charge} = \text{Number of protons} \times \text{Charge of one proton} \).
Ensure that the units are consistent throughout the calculation. The charge of a proton is given in coulombs (C), and the mass is in grams (g), so the final charge will be in coulombs.
Finally, compare your calculated charge with the given options to identify the correct answer.