Question

How many coulombs of positive charge are there in 0.1 kg of carbon? Twelve grams of carbon contain Avogadro's number of atoms, with each atom having six protons and six electrons.

Answer 1

In 0.1 kg of carbon, there are approximately 4.81 × 10^5 coulombs of positive charge.

Step-by-step explanation:

To determine how many coulombs of positive charge are there in 0.1 kg of carbon, we can use the fact that 12 grams of carbon contain Avogadro's number of atoms, with each atom having six protons.

One mole of carbon has a mass of 12.0 g, which is equal to 6.022 × 10^23 atoms. Therefore, the number of carbon atoms in 0.1 kg of carbon can be calculated as:

Number of carbon atoms = (0.1 kg / 12.0 g) × (6.022 × 10^23 atoms/g) = 5.0185 × 10^23 atoms

Since each carbon atom has six protons, the total positive charge can be calculated as:

Total positive charge = Number of carbon atoms × (6 protons/atom) × (1.6 × 10^-19 coulombs/proton)

Total positive charge = (5.0185 × 10^23 atoms) × (6) × (1.6 × 10^-19 coulombs/proton) = 4.81 × 10^5 coulombs

Answer 2

`481.84* 10^(4)`

Step-by-step explanation:

We have given the mass of the carbon =0.1 kg

Molar mass of the carbon =12 gram

Number of moles
`n=(0.1)/(0.012)=8.333`

We know that 1 mole of carbon contain
`6.023* 10^(23)atoms`

So atoms contained by 8.333 moles
`=8.333* 6.023* 10^(23)=50.191* 10^(23)atoms`

In question it is given that each atom contain 6 proton so number of proton
`6* 50.191* 10^(23)atoms=301.15* 10^(23)proton`

Now we know that each proton contain positive charge of
`1.6* 10^(-19)C`

So total charge
`=1.6* 10^(-19)* 301.15* 10^(23)=481.84* 10^(4)C`