The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20C and one bar will be released when 0.15g of aluminium reacts?
The balanced reaction is:
2Al + 2NaOH + 2H2O → 2NaAlO2 + 3H2
At STP:
(2*27) 54g of Al reacts to form (3*22400ml) of dihydrogen
Therefore, 0.15g of Al gives:
= 3*22400*0.15 / 54 = 186.67ml of H2
At STP:
P1 = 1 atm
V1 = 186.67 ml
T1 = 273K
Let the volume of dihydrogen be V2 at:
P2 = 0.987 atm (1bar = 0.987 atm)
T2 = 20+273 = 293K
We know that:
P1V1/T1 = P2V2/T2
Thus, V2 = P1V1T2/P2T1
= 1*186.67*293 / 0.987*273
= 203ml