Question

How many coulombs of positive charge are there in 1.2 kg of carbon? Twelve grams of carbon contain Avogadro's number of atoms, with each atom having six protons and six electrons.

Answer 1

5.78 × 10⁷ C

Step-by-step explanation:

Given that:

The mass of the carbon = 1.2 kg

Also,

1 kg = 1000 g

So, mass = 1200 g

Molar mass of carbon = 12.0107 g/mol

Moles = Mass taken / Molar mass

So,

Moles = 1200 / 12.0107 moles = 99.91 moles

1 mole of carbon contains = 6.022 × 10²³ atoms

Also, 1 atom of carbon contains 6 positive charge (protons)

So,

99.91 moles of carbon contains = 6.022 × 10²³ × 99.91 × 6 protons

Charge on 1 proton = 1.6 × 10⁻¹⁹ C

So,

Charge of 1.2 kg carbon = 6.022 × 10²³ × 99.91 × 6 × 1.6 × 10⁻¹⁹ C = 5.78 × 10⁷ C