What mass of C4H6 must react to produce 43.2 L of CO2 gas at 499 K and 2.57 atm.
2C4H6(g)+11O2(g)⟶8CO2(g)+6H2O(l)
First, use the ideal gas equation to calculate the moles of CO2.
Then, calculate the mass of C4H6 from the moles of CO2. Show the conversions required to solve this problem.
V = 43.2L, T = 499K, P = 2.57atm
R = 0.0821 L*atm/moll*K
PV = nRT
n = PV/RT, n(CO2) = (2.57*43.2) / (0.0821*499) = 111.024/40.9679 = 2.71 moll
m(C4H6) = (2Mr(C4H6)*V(CO2)) / 8Vm(CO2)
V(CO2) = n(CO2) * Vm(CO2), V(CO2) = 2.71*22.4 = 60,7 L
m(C4H6) = ((2*54)*60.7)/8*22.4 = 36.58 g
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