Question

The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20°C and one bar will be released when 0·15g of aluminium reacts?

Solution

Al reacts with caustic soda to produce dihydrogen.
$stack 2 Al with 2 cross times 27 straight g below space plus 2 NaOH plus 2 straight H subscript 2 straight O rightwards arrow space 2 NaAlO subscript 2 space plus space stack 3 straight H subscript 2 with 3 cross times 22400 space mL space at space STP below$

54g Al on reacting with caustic soda produces
$equals space 3 space cross times space 22400 space mL space straight H subscript 2$
$therefore space space 0.15 space straight g space Al space on space reacting space with space caustic space soda space would space produce space space space equals space fraction numerator 3 space cross times space 22400 over denominator 54 end fraction cross times 0.15 space mL space straight H subscript 2 space equals space 186.7 space mL$
Applying the gas equation
$left parenthesis STP space condition right parenthesis space fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals space fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction space left parenthesis Reqd. space condition right parenthesis space space space space space fraction numerator 1 space atm space cross times space 186.7 space mL over denominator 273 straight K end fraction space equals space fraction numerator 0.987 space atm space cross times space straight V subscript 2 over denominator 293 space straight K end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets because space 1 space bar space equals space 0.987 space atm close square brackets space space space therefore space space space straight V subscript 2 space equals space fraction numerator 1 space cross times space 186.7 over denominator 273 end fraction cross times fraction numerator 293 over denominator 0.987 end fraction space equals space 203.0 space mL$

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States Of Matter

The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20°C and one bar will be released when 0·15g of aluminium reacts?

Some More Questions From States of Matter Chapter

What is the absolute zero temperature?

Can absolute zero temperature be attained for a gas?

How pressure of a given sample of gas is related to absolute temperature at constant volume?

How is the pressure of a gas related to the number of molecules of the gas at constant temperature and volume?

What is standard (or normal) temperature and pressure (STP)?

What does SATP stand for? Define it.

What is the value of molar volume at STP?

What is standard molar volume?

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