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The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen in mL at 20 ° C and one bar will be released when 0.15 g of aluminium reacts? (Take 1 bar = 0 .987 atm )

Correct answer

203

Step-by-step solution

The reaction between aluminium and caustic soda is 2 A l 2 × 27 = 54 g + 2 N a O H + 2 H 2 O → 2 N a A l O 2 + 3 H 2 3 × 22.4 L atSTP So 54 g of Al produces H 2 at STP = 3 × 22.4 L 0.15 g of Al will produce H 2 at STP = 3 × 22.4 54 × 0.15 = 0.186 L At STP Given Conditions P 1 = 1 atm P 2 = 1 bar = 0.987 atm V 1 = 0.186 L V 2 = ? T 1 = 273 K T 2 = 273 + 20 = 293 K Applying ideal gas equation, P 1 V 1 T 1 = P 2 V 2 T 2 1 × 0.1867 273 = 0.987 × V 2 293 V 2 = 293 0.987 × 1 × 0.1867 273 = 0.2030 L = 203 mL

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