A sample of iron, which has a specific heat capacity of 0.449 Jg^-1℃^-1, is put into a calorimeter (see sketch at right) that contains 100.0 g of water. The iron sample starts off at container 93.3 °C and the temperature of the water starts off at 22.0 °C. When the temperature of the water stops changing it's 25.7 °C. The pressure remains constant at 1 atm. Required:
Calculate the mass of the iron sample. Be sure your answer is rounded to 2 significant digits.

Explanation:

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In this case, since the interaction between hot iron and cold water allows the heat transfer from iron to water and therefore we can write up the following energetic equation:

Whereas the heat terms can be written in terms of mass, specific heat and temperature change:

So we solve for the mass of iron as follows:

Now, we plug in the given data to obtain:

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b. accuracy of the data matters alot more than its number of digits, organization or amount of detail. quantitative observation is more accepted than the qualitative observation.

the right answer is c i just did the question.