Which sample contains the largest number of atoms

Asked by admin @ 29/08/2021 in Chemistry viewed by 324 People

1) 1mg of C4H10
2) 1 MG OF N2
3) 1MG OF Na
4) 1 mL of water

Answered by admin @ 29/08/2021

Answer:

1 mL of water contains the largest number of atoms.

Explanation:

1) 1 mg of $C_4H_{10}$

1 mg = 0.001 g

Moles of $C_4H_{10}=\frac{0.001 g}{58 g/mol}=1.72\times 10^{-5} mol$

Number of molecules = $6.022\times 10^{23}\times 1.72\times 10^{-5}=1.03\times 10^{19} molecules$

1 molecule has 14 atoms

Total number of atoms = $14\times 1.03\times 10^{19} atoms=1.44\times 10^{20} atoms$

2)1 mg of $N_2$

1 mg = 0.001 g

Moles of $N_2=\frac{0.001 g}{28 g/mol}=3.57\times 10^{-5} mol$

Number of molecules = $6.022\times 10^{23}\times 3.57\times 10^{-5}=2.15\times 10^{19} molecules$

1 molecule has 2 atoms

Total number of atoms = $2\times 2.15\times 10^{19}atoms=4.30\times 10^{19} atoms$

3) 1 mg of Na

1 mg = 0.001 g

Moles of $Na=\frac{0.001 g}{23 g/mol}=4.34\times 10^{-5} mol$

Number of atoms= $6.022\times 10^{23}\times 4.34\times 10^{-5}=2.61\times 10^{19} atoms$

4) 1 mL of water

Mass = m

$Density=\frac{Mass}{Volume]$

$1 g/mL=\frac{m}{1 mL}$

m = 1 g

Moles of water = $\frac{1g}{18 g/mol}=0.0555 mol$

Number of molecules = $6.022\times 10^{23}\times 0.0555=3.34\times 10^{22} molecules$

1 molecule has 3 atoms

Total number of atoms = $3\times 3.34\times 10^{22} atoms=1.003\times 10^{23} atoms$

1 mL of water contains the largest number of atoms.

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