Calculate the specific heat (J/g∘C) for a 18.5-g sample of tin that absorbs 183 J when temperature increases from 35.0 ∘C to 78.6 ∘C.
\(Q=cm \Delta T \ \ \ \ \ \Rightarrow \ \ \ c=\frac{Q}{m\Delta T}\\\\ Q=183J\\ m=18,5g\\ \Delta T=78,6^{o}C-35^{o}C=43,6^{o}C\\\\ c=\frac{183J}{18,5g*43,6^{o}C}\approx0,227\frac{J}{g^{o}C}\)
Answer:
0.227 J/g°C
Explanation:
Specific heat is the heat change by one gram of substance if it is subjected to change of 1 degree celsius.
The relation between specific heat and mass and change in temperature is:
Q = heat change = mass X specific heat X change in temperature.
Given:
Q = 183 J
Mass = 18.5g
increase in temperature = 78.6-35 = 43.6 °C
Putting values
183 = 18.5X specific heat X 43.6
Specific heat = \(\frac{183}{18.5X43.6}= 0.227\)\(\frac{J}{g^{0}C}\)