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Unless specified otherwise, it is generally safe to perform calculations with temperature in terms of Kelvin. Even in the case of a specific heat equation or of the like, most often the calculation involves using change(difference) in temperature. Because degrees K = degrees C + 273, the difference will always be the same whether you perform the calculation in terms of K or C. For example, 298 K - 300 K and 25 degrees C - 27 degrees C both yield the value of -2. But in general it is good to always double check units and see if and where they cancel out when doing problems.
For the homework problems, it is safe to assume that you always have to convert to Kelvin. However, if you are finding the change in temperature, you can choose to stay in C rather than K because 273 will be added to both addends.
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