Question #107846
Calculate the enthalpies of methanol if the enthalpies of formation of CO2,H2O and CH3OH are respectively -393.5kj/mol,-285.8kj/mol and -239.0kj/mol.
1
Expert's answer
2020-04-06T12:00:21-0400

ΔсH0=i=1viΔfH0(Bi)i=1viΔfH0(Ai)\Delta_сH^0=\displaystyle\sum_{i=1}v_i\Delta_fH^0(B_i)-\displaystyle\sum_{i=1}v_i\Delta_fH^0(A_i)

Where B are products and A are initial reagents

Equation for combustion of methanol:

CH3OH + 1.5O2 = CO2 + 2H2O

Then

ΔсH0(CH3OH)=ΔfH0(CO2)+2ΔfH0(H2O)\Delta_сH^0(CH_3OH)=\Delta_fH^0(CO_2)+2\Delta_fH^0(H_2O) 1.5ΔfH0(O2)ΔfH0(CH3OH)-1.5\Delta_fH^0(O_2)-\Delta_fH^0(CH_3OH)

For all simple substances (including O2) under normal conditions enthalpies of formation are taken as 0. So ΔfH0(O2)=0\Delta_fH^0(O_2) = 0 and

ΔсH0(CH3OH)=393.5+2(285.8)\Delta_сH^0(CH_3OH)= -393.5 + 2*(-285.8)1.50(239.0)=726.1-1.5*0-(-239.0)=-726.1 kj/mol


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