Question #83621

In the reaction c4h10 + o2= co2 + h2o 172.5 g of c4h10 reacts with excess o2. How many grams of co2 will be produced?

Expert's answer

Answer on Question #83621 – Chemistry – Organic Chemistry

Task:

In the reaction C4H10+O2=CO2+H2OC_4H_{10} + O_2 = CO_2 + H_2O, 172.5 g of C4H10C_4H_{10} reacts with excess O2O_2. How many grams of CO2CO_2 will be produced?

Solution:

Chemical reaction equation:


2C4H10+13O2=8CO2+10H2O2 C _ {4} H _ {1 0} + 1 3 O _ {2} = 8 C O _ {2} + 1 0 H _ {2} O


According to the chemical reaction equation:


n(C4H10)2=n(CO2)8;n(C4H10)=n(CO2)4\frac {n (C _ {4} H _ {1 0})}{2} = \frac {n (C O _ {2})}{8}; \quad \Rightarrow \quad n (C _ {4} H _ {1 0}) = \frac {n (C O _ {2})}{4}


Then,


M(C4H10)=4Ar(C)+10Ar(H)=412+101=58gmol;M \left(C _ {4} H _ {1 0}\right) = 4 * A r (C) + 1 0 * A r (H) = 4 * 1 2 + 1 0 * 1 = 5 8 \frac {g}{m o l};M(CO2)=Ar(C)+2Ar(O)=12+216=44gmol;M \left(C O _ {2}\right) = A r (C) + 2 * A r (O) = 1 2 + 2 * 1 6 = 4 4 \frac {g}{m o l};n(X)=m(X)M(X);n (X) = \frac {m (X)}{M (X)};m(C4H10)M(C4H10)=m(CO2)4M(CO2);\frac {m (C _ {4} H _ {1 0})}{M (C _ {4} H _ {1 0})} = \frac {m (C O _ {2})}{4 * M (C O _ {2})};m(CO2)=4M(CO2)m(C4H10)M(C4H10);m (C O _ {2}) = \frac {4 * M (C O _ {2}) * m (C _ {4} H _ {1 0})}{M (C _ {4} H _ {1 0})};m(CO2)=444gmol172.5g58gmol=523.448g;m (C O _ {2}) = \frac {4 * 4 4 \frac {g}{m o l} * 1 7 2 . 5 g}{5 8 \frac {g}{m o l}} = 5 2 3. 4 4 8 g;m(CO2)=523.448gm \left(C O _ {2}\right) = 5 2 3. 4 4 8 g


Answer: 523.448 grams of CO2CO_2 will be produced.

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