Given are the following data at 298 K.ΔcH°C2H4,g=−1410.9 kJ mol−1; ΔcH°C2H6,g=−1559.8 kJ mol−1; ΔcH°H2 , g=−285.8 kJ mol−1The value of ΔrH° of the reaction C2H4g+H2g→ C2H6g will be
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a
434.7 kJ mol-1
b
-434.7 kJ mol-1
c
136.9 kJ mol-1
d
-136.9 kJ mol-1
answer is D.
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Detailed Solution
i C2H4g+3O2g→ 2CO2g+2H2O1; ΔcH°=−1410.9 kJ mol−1ii C2H6g+72O2g→ 2CO2g+3H2O1; ΔcH°=−1559.8 kJ mol−1iii H2g+12O2g→ H2O1; ΔcH°=−285.8 kJ mol−1The required chemical equation for which ΔrH° is required is C2H4g+H2g→ C2H6gThis equation is obtained by the manipulations Eq. (i) + Eq. (q. (ii)Hence, ΔrH°=−1410.9−285.8−−1559.8kJ mol−1=−136.9 kJ mol−1