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According to the Wikipedia article on hydrazine, the molecular formula for hydrazine is N2H4 and it's molar mass is 32.0452g/mol.
1 mole N2H4 = 32.0452g/mol = 6.022 x 1023molecules
Convert mass in grams to moles.
10.11g hydrazine x 1mol/32.0452g = 0.3155mol hydrazine
Convert moles to molecules.
0.3155mol hydrazine x 6.022 x 1023molecules/mol = 1.900 x 1023molecules hydrazine
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