Question #377d6

1 Answer
Dec 21, 2017

#=43.01L#

Explanation:

  1. Write the given balanced equation
    #2KClO_3->2KCl+3O_2#
  2. Given the mass of #O_2#, per convention, change it to #"mole"(eta)# through the formula:
    #eta=("mass"(m))/("Molar mass"(M))#
    #eta=(34cancel(gO_2))/((32cancel(gO_2))/(molO_2))#
    #eta=1.0625molO_2#
  3. Now, find the volume O_2 produced with the given values at standard pressure (1 atm.) using the ideal gas formula. The chosen gas constant #R=(0.0821L*atm)/(mol*K)#.
    #PV=etaRT#
    #V=(etaRT)/(P)#
    #V=((1,0625cancel(mol))((0.0821L*cancel(atm))/cancel((mol*K)))(220+273)cancel(K))/(1cancel(atm))#
    #V=43.01L#