Mole Concept and Some Basic Concepts of ChemistryhardNUMERICAL

A small dot of ink at the end of a printed sentence has a measured mass of (). Assuming the ink consMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

A small dot of ink at the end of a printed sentence has a measured mass of $1.2\text{ }\mu\text{g}$ ($1.2 \times 10^{-6}\text{ g}$). Assuming the ink consists entirely of pure carbon, it contains exactly $x \times 10^{16}$ atoms. Find the closest integer value of $x$.

Answer: 6

💡 Solution & Explanation

Step 1: Find the number of moles of Carbon. $n = \frac{1.2 \times 10^{-6}\text{ g}}{12\text{ g/mol}} = 1.0 \times 10^{-7}\text{ moles}$. Step 2: Calculate the number of atoms. $\text{Atoms} = n \times N_A = (1.0 \times 10^{-7}) \times (6.022 \times 10^{23})$. $\text{Atoms} = 6.022 \times 10^{16}$. Step 3: Match the format $x \times 10^{16}$. The value of $x$ is $6.022$. The closest integer is 6.

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