In the determination of the specific heat of a metal, what is the relationship b
ID: 1060497 • Letter: I
Question
In the determination of the specific heat of a metal, what is the relationship between the size of the specific heat of the metal, and the final temperature? For a metal with a larger specific heat (like Al) would t_f be larger, smaller, or the same as for a metal with a smaller specific heat (like Pb), all else being held constant? Either with a sample calculation, algebraically, or with a complete explanation, say what effect this difference would have on the final temperature, t_f. Recall that: q_water + C_calorimeter + q_metal 0 {S water m_water (t_f - t_i)} + {C_cal (t_f - t_i)} + {s_metal m_metal (t_f - t_i)} = 0Explanation / Answer
When determining the final temperature of a solution in mixing of a metal with a cold solution.
The final temperature of the solution relates to the specific heat capacity of the metal used.
As the specific heat capacity of the metal goes up, more heat is transferred into the solution and hence higher final solution temperature Tf is expected in such cases as compared to the metals having a lower specifc heat capacity.