JEE Advanced · 2020 · 27 Sep 2020 · Paper 1 · Some Basic Concepts of Chemistry

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Aluminium reacts with sulfuric acid to form aluminium sulfate and hydrogen. What is the volume of hydrogen gas in liters (L) produced at 300 K and 1.0 atm pressure, when 5.4 g of aluminium and 50.0 mL of 5.0 M sulfuric acid are combined for the reaction?
(Use molar mass of aluminium as

27.0 g mol^{- 1}, R = 0.082 atm L mol^{- 1} K^{- 1}

)

Answer: 6.1

Solution

Balanced equation:

2 Al + 3 H X_{2} SO X_{4} Al X_{2} (SO X_{4}) X_{3} + 3 H X_{2}

Moles of Al =

\frac{5.4}{27} = 0.2

mol

Moles of

H X_{2} SO X_{4}

\frac{50 \times 5.0}{1000} = 0.25

mol

Limiting reagent: Comparing

\frac{0.2}{2} = 0.1

and

\frac{0.25}{3} = 0.083

H X_{2} SO X_{4}

is limiting.

Moles of

H X_{2}

formed =

\frac{3}{3} \times 0.25 = 0.25

mol

Using ideal gas equation:

V = \frac{n R T}{P} = \frac{0.25 \times 0.082 \times 300}{1.0} = 6.15 L

JEE Advanced · 2020 · 27 Sep 2020 · Paper 1 · Numerical answer

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JEE Advanced · 2020 · 27 Sep 2020 · Paper 1 · Some Basic Concepts of Chemistry

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