Thursday, January 27, 2011

The reaction between methane and oxygen produces water and carbon dioxide. If 3.2g of methane reacts with 12.8g of oxygen, what is mass of water...

Molar mass of methane (CH4) = 16
g/mole


Molar mass of Oxygen (O2) = 32
g/mole


Molar mass of water (H2O) = 18
g/mole


Molar mass of Carbon Dioxide (CO2) = 44
g/mole


Now, the balanced reaction is
:-


CH4(g) + 2O2(g)  ---------> CO2(g) +
2H2O(l)


Now, moles of CH4 reacting = mass of CH4/molar mass
of CH4 = 3.2/16 = 0.2


Moles of O2 reacting = mass of
O2/molar mass of O2 = 12.8/32 = 0.4


Now, As per the
balanced reaction, for complete reaction to occur, one mole of CH4 require 2 moles of
O2


Thus, 0.2 moles of CH4 requires 0.4 moles of
O2


Clearly, both CH4 & O2 are present in the exact
required quantity.


Hence, moles of CO2 formed = moles of
CH4 reacted = 0.2


Mass of CO2 formed = moles of CO2*Molar
mass of CO2 = 0.2*44 = 8.8 g


Moles of H2O formed = moles of
O2 reacted = 2*moles of CH4 reacted = 0.4


Thus, mass of H2O
formed = moles of H2O*molar mass of H2O = 0.4*18 = 7.2 g

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