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The equation with the m in it will give you the energy supplied as heat to the substance, and the equation with the n in it will give you the molar heat capacity of a substance. The m refers to mass while the n refers to moles. You'll know which equation to use based on which one (grams or moles) the problem gives you.
Delta U is only equal to delta H when the volume of reactants equals the volume of products. This is because since q = delta H at constant pressure (aka qp = delta H), delta U = qp + w, and w = 0 when the volumes are equal, delta U = qp + w = delta H + w = delta H. Hope this helped!
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