A chemist carefully measures the amount of heat needed to raise the temperature of a sample of a pure substance from to . The experiment shows that of heat are needed. What can the chemist report for the specific heat capacity of the substance? Be sure your answer has the correct number of significant digits.

Respuesta :

Explanation:

Let us assume that mass of given sample is 894.0 g and temperature change is from [tex]-5.8^{o}C[/tex] to [tex]17.5^{o}C[/tex] and heat needed is 4.90 kJ (or 4900 J, as 1 kJ = 1000 J).

Therefore, calculate the heat capacity using the following formula.

                  Q = [tex]m \times C \times \Delta T[/tex]

    [tex]4.90 \times 10^{3} J = 894.0 g \times C \times (17.5 - (-5.8)^{o}C[/tex]

        [tex]4.90 \times 10^{3} J = 20830.2 g^{o}C \times C[/tex]

                         C = [tex]0.235 J/g^{o}C[/tex]

Therefore, we can conclude that specific heat capacity of the substance is [tex]0.235 J/g^{o}C[/tex].