Question #40464

The combustion of propane may be described by the chemical equation,
C3H8(g) + 5O2(g) --> 3CO2(g) + 4H2O(g)
How many grams of O2(g) are needed to completely burn 97.3 g of C3H8(g)?

Expert's answer

Answer on Question #40464, Chemistry, Other

Question

The combustion of propane may be described by the chemical equation,


C3H8(g)+5O2(g)3CO2(g)+4H2O(g)\mathrm{C_3H_8(g)} + 5\mathrm{O_2(g)} \rightarrow 3\mathrm{CO_2(g)} + 4\mathrm{H_2O(g)}


How many grams of O2(g)\mathrm{O_2(g)} are needed to completely burn 97.3g97.3\,\mathrm{g} of C3H8(g)\mathrm{C_3H_8(g)}?

Answer


M(C3H8)=44g/moln(C3H8)=m(C3H8)/M(C3H8)=97.3g/44g/mol=2.21moln(O2)=5n(C3H8)=52.21=11.05molM(O2)=32g/molm(O2)=n(O2)M(O2)=11.05mol32g/mol=353.6g\begin{array}{l} \mathrm{M}(\mathrm{C_3H_8}) = 44\,\mathrm{g/mol} \\ \mathrm{n}(\mathrm{C_3H_8}) = \mathrm{m}(\mathrm{C_3H_8})/\mathrm{M}(\mathrm{C_3H_8}) = 97.3\,\mathrm{g} / 44\,\mathrm{g/mol} = 2.21\,\mathrm{mol} \\ \mathrm{n}(\mathrm{O_2}) = 5 \cdot \mathrm{n}(\mathrm{C_3H_8}) = 5 \cdot 2.21 = 11.05\,\mathrm{mol} \\ \mathrm{M}(\mathrm{O_2}) = 32\,\mathrm{g/mol} \\ \mathrm{m}(\mathrm{O_2}) = \mathrm{n}(\mathrm{O_2}) \cdot \mathrm{M}(\mathrm{O_2}) = 11.05\,\mathrm{mol} \cdot 32\,\mathrm{g/mol} = 353.6\,\mathrm{g} \\ \end{array}


Answer: 353.6 g

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