Question

How many molecules are in 5.67 moles

Answer 1

To determine the number of molecules in 5.67 moles, we can use Avogadro's number, which is the number of particles (atoms, molecules, etc.) in one mole of a substance. Avogadro's number is approximately 6.022 x 10^23 particles per mole.

Answer 2

There are approximately 3.41 × 10²⁴ molecules in 5.67 moles, to three significant figures.

Step-by-step explanation:

To calculate the number of molecules in moles, we can use Avogadro's constant.

Avogadro's constant is a fundamental constant that represents the number of particles in one mole of a substance. It is named after the Italian scientist Amedeo Avogadro, who first proposed the concept in 1811.

The exact value of Avogadro's constant, also known as Avogadro's number, is defined as 6.02214076 x 10²³ particles per mole.

To calculate the number of molecules in 5.67 moles we can use the equation:

`\boxed{\textsf{Number of molecules = number of moles $*$ Avogadro's constant}}`

Substitute the values:

`\begin{aligned}\implies \textsf{Number of molecules}&=5.67 * 6.02214076 * 10^(23)\\&= 34.1455381092 * 10^(23)\\&=3.41455381092 * 10^(24)\\ &\approx 3.41 * 10^(24)\;\; \sf (3 \; s.f.)\end{aligned}`

Therefore, there are approximately 3.41 × 10²⁴ molecules in 5.67 moles, to three significant figures.