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C3H8 + 5O2 → 3CO2+ 4H2O, if 5.75L of oxygen are consumed in the above reaction, how many L of carbon dioxide are produced?

Sagot :

Answer: 3.45 L carbon dioxide are produced

Explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given volume}}{\text {Molar volume}}=\frac{5.75L}{22.4L}=0.257moles[/tex]

[tex]C_3H_8+5O_2(g)\rightarrow 3CO_2+4H_2O[/tex]  

According to stoichiometry :

5 moles of [tex]O_2[/tex] produce =  3 moles of [tex]CO_2[/tex]

Thus 0.257 moles of [tex]O_2[/tex] will produce=[tex]\frac{3}{5}\times 0.257=0.154moles[/tex]  of [tex]CO_2[/tex]  

Volume of [tex]CO_2=moles\times {\text {Molar volume}}=0.154moles\times 22.4L/mol=3.45[/tex]

Thus 3.45 L carbon dioxide are produced

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