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Question

In the van 't Hoff Equation d ln KdT=ΔHRT2
Which are the following statements is true?

A
The slope of the graph when lnK is plotted vs 1T increases and then decreases
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B
The slope of the graph when lnK is plotted vs 1T is positive throughout
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C
When d ln KdT<0, the reaction is endothermic
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D
When d ln KdT<0, the reaction is exothermic
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Solution

The correct option is C When d ln KdT<0, the reaction is exothermic
In van 't Hoff's Equation
d ln KdT=ΔHRT2
or, ln K=ΔHR1T+C
This is a linear equation so the slope is constant throughout.
The slope of the graph would depend on the sign of ΔH and it can be negative or positive if the reaction is endothermic or exothermic respectively.

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