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It's not wrong. There is a change in energy taking place; the corresponding change in temperature for each body is governed by that formula. Your inability to understand that is why you can't solve this problem. The amount of energy it takes to raise or lower a gram of water by 1C doesn't change depending on how you do it. It takes 1 calorie, period. It doesn't matter whether you are using natural gas, electricity, cold air in the freezer, or contact with another body. You saying that it matters doesn't make it true. Find a credible source that says otherwise and show me.