Question #a1c07
1 Answer
Jan 27, 2018
Explanation:
- Write the balanced equation
#C_3H_8(g)+5O_2(g)->3CO_2(g)+4H_2O(g)# - Assuming that the
#CO_2# gas produced from the reaction behaved ideally; thus, the relationship that#"1mol of any ideal gas occupies a volume of 22.4L"# is the equivalence statement needed to find the unknown variable and can be interpreted as:#"1mol of any ideal gas"# #-=22.4L# #"of any ideal gas"# - Given the desired volume of
#CO_2# ; that is, 10.0L and the relationship described above, it can be deduced that the number of moles#(eta)# :#eta=10.0cancel(L*CO_2)xx(1molCO_2)/(22.4cancel(L*CO_2))=0.446molCO_2# - Now, find the number of moles of
#C_3H_8# . To convert#etaCO_2# to#etaC_3H_8# , refer to the balanced equation for the mole ratio; i.e.,#=0.446cancel(molCO_2)xx(1molC_3H_8)/(3cancel(molCO_2))#
#=0.149molC_3H_8# - Knowing the number of moles of
#C_3H_8# , the number of molecules can be obtained through the relationship:#"1mol of " C_3H_8# #-=6.02xx10^23C_3H_8 " molecules"# - Now, using the preceding equivalence statement where a suitable conversion factor is obtainable, the number of molecules of
#C_3H_8# is;#=0.149cancel(molC_3H_8)xx(6.02xx10^23C_3H_8 " molecules")/(1cancel(molC_3H_8))#
#=0.897xx10^23C_3H_8" molecules"#
#=8.97xx10^22C_3H_8 " molecules"#
