Question 30 of 36beginner🔧 ApplyNumerical2 marks

What will be the mass of one ¹²C atom in g?

Correct Answer

1.992648×10−231.992648 \times 10^{-23} g

Exercise: EXERCISES | Q: 1.30 | (Page 27)
For More Understanding

Explanation

The mass of one mole of 12^{12}C is exactly 12 g, and one mole contains 6.0221367×10236.0221367 \times 10^{23} atoms. Dividing the molar mass by Avogadro's number gives the mass of a single 12^{12}C atom in grams.

Solution Steps

  1. Step 1: The mass of 1 mole of 12^{12}C atoms is exactly 12 g.

  2. Step 2: The number of atoms in 1 mole is given by Avogadro's number, which is 6.0221367×10236.0221367 \times 10^{23} atoms/mol.

  3. Step 3: To find the mass of one 12^{12}C atom, divide the molar mass by Avogadro's number: Mass of one 12^{12}C atom = 12 g6.0221367×1023\frac{12 \text{ g}}{6.0221367 \times 10^{23}}.

  4. Step 4: This calculation yields the mass of one 12^{12}C atom as 1.992648×10−231.992648 \times 10^{-23} g.

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