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4 Sodium reacts with water as shown below. 2Na(s)+2H_(2)O(l)arrow 2NaOH(aq)+H_(2)(g) Which mass of sodium reacts with water to produce 960cm^3 of hydrogen gas at RTP? A 0.469 B 0.92g C 1.84g D 3.68 g Your answer square

Question

4
Sodium reacts with water as shown below.
2Na(s)+2H_(2)O(l)arrow 2NaOH(aq)+H_(2)(g)
Which mass of sodium reacts with water to produce 960cm^3 of hydrogen gas at RTP?
A 0.469
B 0.92g
C 1.84g
D 3.68 g
Your answer square

4 Sodium reacts with water as shown below. 2Na(s)+2H_(2)O(l)arrow 2NaOH(aq)+H_(2)(g) Which mass of sodium reacts with water to produce 960cm^3 of hydrogen gas at RTP? A 0.469 B 0.92g C 1.84g D 3.68 g Your answer square

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RileyProfessional · Tutor for 6 years

Answer

C \(1.84 \, g\)

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## Step1:<br />The balanced chemical equation shows that two moles of sodium (Na) react with water (H2O) to produce two moles of sodium hydroxide (NaOH) and one mole of hydrogen gas (H2). This means that the stoichiometric ratio of sodium to hydrogen gas is 2:1.<br /><br />## Step2:<br />At RTP (Room Temperature and Pressure), one mole of any gas occupies a volume of \(24,000 \, cm^3\). Therefore, \(960 \, cm^3\) of hydrogen gas corresponds to \(\frac{960}{24000} = 0.04 \) moles of hydrogen gas.<br /><br />## Step3:<br />Since the stoichiometric ratio of sodium to hydrogen gas is 2:1, to produce \(0.04\) moles of hydrogen gas, we need \(2 \times 0.04 = 0.08\) moles of sodium.<br /><br />## Step4:<br />The molar mass of sodium (Na) is approximately \(23 \, g/mol\). Therefore, \(0.08\) moles of sodium correspond to \(0.08 \times 23 = 1.84 \, g\) of sodium.
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