The reaction with sodium produces 0.036 g of hydrogen gas.One mole of hydrogen gas contains 6.0 × 10 23 molecules.Calculate the number of molecules of hydrogen gas produced in the reactionwith sodium.Give your answer to two significant figures.
Question
The reaction with sodium produces 0.036 g of hydrogen gas.One mole of hydrogen gas contains 6.0 × 10 23 molecules.Calculate the number of molecules of hydrogen gas produced in the reactionwith sodium.Give your answer to two significant figures.
Solution
First, we need to find out how many moles of hydrogen gas are in 0.036 g.
The molar mass of hydrogen gas (H2) is approximately 2 g/mol.
So, to find the number of moles, we use the formula:
Number of moles = mass / molar mass
Number of moles = 0.036 g / 2 g/mol = 0.018 moles
Next, we use Avogadro's number (6.0 × 10^23 molecules/mol) to find the number of molecules.
Number of molecules = number of moles * Avogadro's number
Number of molecules = 0.018 moles * 6.0 × 10^23 molecules/mol = 1.08 × 10^22 molecules
So, to two significant figures, the number of molecules of hydrogen gas produced in the reaction with sodium is 1.1 × 10^22.
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