Question

How much positive electric charge is in 10 moles of carbon? Given NA = 6.022×10²³ mol⁻¹ and e=1.60×10⁻¹⁹. Express your answer to one significant figure and include the appropriate units.

Answer 1

The positive electric charge in 10 moles of carbon is approximately 5.8×10´ C, which is calculated by multiplying the total number of protons in 10 moles of carbon by the charge of one proton (1.60×10⁻¹⁹ C).

Step-by-step explanation:

The amount of positive electric charge in 10 moles of carbon can be calculated by considering that each carbon atom has six protons, and each proton has a charge of e=1.60×10⁻¹⁹ coulombs. Since Avogadro's number (NA) is 6.022×10²³ atoms per mole, we can find the total number of protons in 10 moles of carbon and then multiply by the charge of one proton to get the total charge.

To calculate the number of protons:

• Number of atoms in 10 moles = 10 moles × NA = 10 × 6.022×10²³ atoms
• Number of protons (since 1 carbon atom has 6 protons) = 6 × Number of atoms in 10 moles

To calculate the total positive charge:

• Total positive charge = Number of protons × charge of one proton (e)

When we do the math:

• Total positive charge = 6 × 10 × 6.022×10²³ atoms × 1.60×10⁻¹⁹ C/proton

After calculating you get a value approximately 5.8×10´ C of positive electric charge in 10 moles of carbon, to one significant figure.