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How much heat energy is required to convert 49.4 g of solid ethanol at − 114.5 ° C to gasesous ethanol at 140.7 ° C ? The molar heat of fusion of ethanol is 4.60 kJ/mol , and its molar heat of vaporization is 38.56 kJ/mol . Ethanol has a normal melting point of − 114.5 ° C and a normal boiling point of 78.4 ° C . The specific heat capacity of liquid ethanol is 2.45 J / g ⋅ ° C , and that of gaseous ethanol is 1.43 J / g ⋅ ° C .

Respuesta :

Answer:

Explanation:

mass of ethanol (s)[tex]m=49.4\ gm[/tex]

molar specific heat of fusion [tex]\Delta H_f=4.6\ KJ/mol[/tex]

molar specific heat of vaporization [tex]\Delta H_v=38.56\ KJ/mol[/tex]

specific heat of liquid [tex]c_l=2.45\ J/g-^{\circ}C[/tex]

specific heat of gas [tex]c_v=1.43\ J/g-^{\circ}C[/tex]

no of moles of ethanol [tex]n=\frac{49.4}{46}=1.074\ mol[/tex]

[tex]Q_1=n\times \Delta H_f=1.074\times 4.6=4.94\ KJ[/tex]

[tex]Q_2=mc_l\Delta T=49.4\times 2.45\times (192.9)[/tex]

[tex]Q_2=23.346\ KJ[/tex]

[tex]Q_3=n\times \Delta H_v=1.074\times 38.56=41.41\ KJ[/tex]

[tex]Q_4=mc_v\Delta T=49.4\times 1.43\times (192.9)=13.626\ KJ[/tex]

[tex]Q_{net}=Q_1+Q_2+Q_3+Q_4[/tex]

[tex]Q_{net}=83.322\ KJ[/tex]                                            

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