1. Tardigrade
  2. Question
  3. Chemistry
  4. 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

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Q. 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 $27.0 \,g\,mol ^{-1}, R=0.082 \,atm$ $L\,mol ^{-1} K^{-1}$

JEE AdvancedJEE Advanced 2020

Solution:

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$H _{2} SO _{4}$ is limiting reagent
$\therefore $ Moles of $H _{2}( g )$ produced $=0.25$ moles
Using ideal gas equation : $PV = nRT$
$\Rightarrow V=\frac{0.25 \times 0.082 \times 300}{1}$
$V=6.15 \,L$