Which of the following graphs correctly represents the temperature dependence of equilibrium constant K, for an endothermic reaction?
A
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B
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C
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D
none of these
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Solution
The correct option is B we know, △Go=−RTlnK (K= equilibrium constant) and △Go=△Ho−T△So, so −RTlnK=△Ho−T△So or lnK=−△HoRT+△SoR -(eq.1) The above equation relates equilibrium constant with temperature, on plotting (lnK) versus (1T) slope m is m=−△HoRT for endothermic reaction △Ho=+ive∴ slope is negative, hence option (b) is correct
Note: When we differentiate the (eq.1) equation with respect to T, we get van't Hoff equation: dlnKdT=△HoRT2