Final answer:
To find the positive electric charge in 10 moles of carbon, multiply the number of moles by Avogadro's number, the charge per proton, and the number of protons per carbon atom. After calculating and rounding to one significant figure, the result is approximately 6×10⁴ coulombs of positive charge.
Step-by-step explanation:
The question asks for the amount of positive electric charge in 10 moles of carbon. Each carbon atom has 6 protons, and each proton has a charge of 1.60×10⁻¹⁹ C (the elementary charge). Therefore, the total positive charge Q can be calculated using the formula Q = number of moles × Avogadro's number × charge per proton × number of protons per carbon atom.
Q = 10 moles × 6.022×10²³ mol⁻¹ × 1.60×10⁻¹⁹ C × 6 protons/atom
Q = 10 × 6.022×10²³ × 1.60×10⁻¹⁹ × 6
Q = 5.797×10⁴ C
When we round this to one significant figure, we get Q ≈ 6×10⁴ C.
Thus, there is approximately 6×10⁴ coulombs of positive charge in 10 moles of carbon.