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Shouldn't be warmer. Both the i7-860/870 and i7-2600 exhibit the same TDP of 95W. Same with the i5-2500.
It might be different if Windows enabled the on-CPU graphics core (i7 has HD3000, i5 has HD2000, which is clocked lower) but since there is a discrete GPU, it will most likely remain shut off, negating any heat/power usage difference.
Now the extra 2MB of L3 cache in the i7 may do it, but I doubt it.