Answer:
6.65dm³
Step-by-step explanation:
Equation of reaction,
4C3H5(NO3)3(s) → 12CO2(g) + 10H2O(g) + 6N2(g) + O2(g)
From the equation of reaction, 4 moles of Nitroglycerin gave 29 moles of various gases.
Molar mass of nitroglycerin C₃H₅(NO₃)₃ = 908g
Since all the product of the reaction are in gaseous phase, let's assume that law of conservation of matter is held hence there's no loss in mass.
908g of C₃H₅(NO₃)₃ = 908g of products
2.70×10²g of C₃H₅(NO₃)₃ = 2.70×10²g of products
Number of moles = mass / molar mass
Molar mass of C₃H₅(NO₃)₃ = 908g/mol
Number of moles = 2.70×10² / 908
Number of moles = 0.297 moles
But 1 mole = 22.4dm³
0.297mole = x dm³
x = (0.297 × 22.4) / 1
x = 6.65dm³
The volume of gas that'll be produced when 2.70×10²g of C₃H₅(NO₃)₃ would be 6.65dm³