The fuel used in many disposable lighters is liquid butane, C4H10. Butane has a molecular weight of 58.1 grams in one mole. How many carbon atoms are in 2.50 g of butane?

1.035 * 10^23 atoms of C

well, how many moles in 2.5g of Butane?

then the # of carbons (4 per molecule) is

#moles * 4 * 6.023*10^23

To determine the number of carbon atoms in 2.50 g of butane (C4H10), we need to use the molar mass of butane and convert grams to moles.

Step 1: Calculate the number of moles of butane.
Number of moles = Mass of butane / Molar mass of butane

Molar mass of butane = 58.1 g/mol
Mass of butane = 2.50 g

Number of moles = 2.50 g / 58.1 g/mol
Number of moles ≈ 0.043 mole

Step 2: Determine the number of moles of carbon atoms.
In 1 mole of butane, there are 4 moles of carbon atoms.

Number of moles of carbon atoms = Number of moles of butane × (4 moles of carbon atoms / 1 mole of butane)
Number of moles of carbon atoms ≈ 0.043 mole × (4 moles of carbon atoms / 1 mole of butane)
Number of moles of carbon atoms ≈ 0.043 mole × 4
Number of moles of carbon atoms ≈ 0.172 mole

Step 3: Calculate the number of carbon atoms.
1 mole of carbon atoms contains Avogadro's number (6.022 × 10^23) of carbon atoms.

Number of carbon atoms = Number of moles of carbon atoms × Avogadro's number
Number of carbon atoms ≈ 0.172 mole × 6.022 × 10^23 mol^-1
Number of carbon atoms ≈ 1.035 × 10^23 carbon atoms

Therefore, there are approximately 1.035 × 10^23 carbon atoms in 2.50 grams of butane.

To determine the number of carbon atoms in 2.50 g of butane (C4H10), we need to use the molar mass and the molar ratio.

1. Start by calculating the number of moles of butane using the given mass and molar mass.

Moles of butane = Mass of butane / Molar mass of butane

Moles of butane = 2.50 g / 58.1 g/mol

2. Now that we know the number of moles of butane, we can use the balanced chemical formula to determine the molar ratio of carbon atoms to moles of butane.

From the balanced chemical formula, we see that there are four carbon atoms (C4) in one mole of butane (C4H10).

3. Multiply the number of moles of butane by the molar ratio of carbon atoms to moles of butane.

Number of carbon atoms = Moles of butane × (4 moles of carbon / 1 mole of butane)

Number of carbon atoms = Moles of butane × 4

4. Substituting the value calculated in step 1:

Number of carbon atoms = 2.50 g / 58.1 g/mol × 4

Number of carbon atoms ≈ 0.086 moles × 4

Number of carbon atoms ≈ 0.344 moles

Therefore, there are approximately 0.344 moles of carbon atoms in 2.50 g of butane.