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Enthalpy of Combustion Calculations
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Example Q. 4.6g of ethanol (C 2 H 5 OH) is burned. The energy released raised the temperature of 0.5kg of water by 20 o C. What is the enthalpy of combustion of ethanol?
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Answer E H = c x m x ΔT = 4.18 x 0.5 x 20= 41.8kJ Therefore 1 mole C 2 H 5 OH = 46g (worked out from FM) so, number of moles for 4.6g= 4.6/46= 0.1 mole C 2 H 5 OH
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so, 0.1 mole C 2 H 5 OH releases 41.8kJ 1 mole C 2 H 5 OH releases 418kJ i.e. enthalpy of combustion of C 2 H 5 OH is -418kJ mol -1 (negative is due to exothermic reaction).
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Calculating ΔT Using E H = c x m x ΔT Q. 1g of butanol is burned and the energy used to heat 250cm 3 of water. Assuming all of the heat energy is transferred to the water, what would the temperature rise be?
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Answer Butanol: C 4 H 9 OH FM=(4x12) +(9x1) + 16 + 1 =48+9+16+1 =74 1 mole of butanol=74g n= m/FM= 1/74= 0.0135 moles
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Enthalpy of combustion of butanol = -2800kJ mol -1 So, 1 mole butanol 2800kJ 0.0135 moles butanol 2800 x 0.0135 =37.8kJ i.e. E H = 37.8kJ Mass of water= 0.25kg ΔT= ?
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E H = c x m x ΔT Change the subject of the equation ΔT = E H /(c x m) =37.8 /(4.18 x 0.25) =37.8 / 1.047 ΔT =36.2 o C
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Calculating the Mass of Water Used Q. 2g of methane was used to heat water. The temp of the water rose by 30 o C, from 20 o C to 50 o C. What mass of water was heated? E H = c x m x ΔT
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1. Calculate E H 1 mole CH 4 =16g N=m/FM= 2/16=0.125 moles Data book: ΔH= -891kJ mol -1 So, 1 mole methane 891kJ 0.125 moles methane 891x0.125= 111.375kJ
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2. Calculate the Mass of Water E H = c x m x ΔT Change the subject of the equation m= E H / (c x ΔT) =111.375 /( 4.18 x 30) =111.375 / 125.4 =0.89kg
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