Question

drano uses a mixture of sodium hydroxide and aluminum powder to generate hydrogen gas and heat when placed in a drain. calculate the volume of h2 produced at stp if 3.12 g of al is used. (mole ratio is 3 h2 to 2 al).

Answer 1

The volume of Hydrogen gas is 3.88L

The mass of aluminium = 3.12 g

Molar mass of aluminium = 26.98 g/mol

Calculating the number of moles -

Number of moles = Given Mass/Molar Mass

= 3.12/26.98

= 0.116 mol

Thus,

By Stoichiometry of the reaction:

Two moles of aluminium produce three moles of hydrogen gas. Thus,  0.116 moles of aluminium will produce -

= 3/2 × 0.116

= 0.173 mol

Calculating the volume of hydrogen gas produced by the equation -

PV = nRT

V = nRT/P

Using the standard temperature of gas = 273K

= 0.173 × 0.0821 × 273K/1 atm

= 3.88

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