$3.011 \times 10^{22}$ atoms of an element weight $1.15 \mathrm{~g}$. The atomic mass of the element is

$3.011 \times 10^{22}$ atoms of an element weight $1.15 \mathrm{~g}$. The atomic mass of the element is
  1. 10 amu
  2. 2.3 amu
  3. 35.5 amu
  4. 23 amu

Solution

Given, $3.011 \times 10^{22}$ atoms of an element weight = 1.15 g Now, $6.023 \times 10^{23}\left(N_A\right)$ atoms of an element will weight $ =1.15 \times \frac{6.023 \times 10^{23}}{3.011 \times 10^{22}}=23 \mathrm{~g} $ The atomic mass of the element is $23 \mathrm{~g} / \mathrm{mol}$ or amu. Note $N_A=$ number of units in one mole of any substance $=6.02214076 \times 10^{23}$

Asked in: AP EAMCET 2021 (25 Aug Shift 2)

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