How many moles of CO₂ are present in a gas jar containing 1.506 × 10²³ molecules of carbon dioxide?

Question

Question

This question was previously asked in

AAI Junior Assistant (Fire Service) Official Paper (Held On: 15 Nov 2022 Shift 1)

Answer 1

The correct answer is 0.25

Concept:

Mole:

The mole is a unit of measurement for the amount of substance.
One mole of any substance contains exactly \(6.022 \times 10^{23}\) entities (this number is known as Avogadro's number \(N_A\).
Formula to calculate moles: \(n = \frac{N}{N_A}\)

Calculation:

Given,

Number of molecules of\( CO_2 = N = 1.506 \times 10^{23}\)

Avogadro's number, \(N_A = 6.022 \times 10^{23} \, \text{molecules/mol}\)

Number of moles of \(CO_2\),

⇒ \(n = \frac{N}{N_A}\)

⇒\( n = \frac{1.506 \times 10^{23}}{6.022 \times 10^{23}}\)

⇒ \(n \approx 0.25 \ moles\)

∴ The number of moles of \( CO_2 \) present is 0.25.