Given reaction -
1) 3 H3PO4 + 3 Na2CO3 ----> 3 CO2 + 3 H2O + 2 Na3PO4
a) First we find the molecular wt. of Na3PO4
Molecular wt. of Na = 22.99
Molecular wt. of C = 12.01
Molecular wt. of O = 16
Molecular wt. of Na3PO4 = 3*22.99+12.01+3*16 = 105.99
Moles of Na3PO4 in 10g of Na3PO4 = 105.99/10 = 0.0943 moles
As per given reaction, 3 moles of Na3PO4 give 3 moles of CO2. Hence their stoichiometric ratio is 1:1
Therefore moles of CO2 produced from 10g of Na3PO4 is 0.0943 moles
b) Molarity = no. of moles / volume in (L)
So, 0.2 M H3PO4 = moles of H3PO4 / volume of H3PO4
0.2 = moles ofH3PO4 / (100 * 10^-3)
So moles ofH3PO4 = 0.02 moles
As per given reaction, 2 moles of H3PO4 give 3 moles of CO2. Hence their stoichiometric ratio is 2:3
So - 0.02 moles of H3PO4 * 3 moles of CO2 / 2 moles of H3PO4
= 0.03 moles of CO2
c) As per (question a) , there are 0.0943 moles of Na3PO4
As per (question b) there are 2 moles of H3PO4
To find limiting reagent:
From stoichiometry we know that moles of Na3PO4 to moles of CO2 ratio is 3:3
So - 0.0943 moles of Na3PO4 * 3 moles of CO2 / 3 moles of Na3PO4
= 0.0943 moles of CO2
From stoichiometry we know that moles of H3PO4 to moles of CO2 ratio is 2:3
So - 0.02 moles of H3PO4 * 3 moles of CO2 / 2 moles of H3PO4
= 0.03 moles of CO2
Therefore since H3PO4 limits the production of CO2, it is the limiting reactant.
d) As seen from above , 0.03 moles of CO2 are expeced from the reaction.
e) P= 1 atm
T = 25 deg C = 25+273.15 = 298.15 K
R= 0.08205 L atm/ mol K
As per ideal gas equation - -> PV = nRT
Therefore V = nRT/P
= 0.03*0.08205*298.15 / 1
V = 0.7339 L
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