Question

Solve the following problem and answer what is being asked. Express all answers in four decimal places.

A piece of metal was heated and placed in a calorimeter containing ice. Assuming no heat escapes the calorimeter, solve what is being asked given the following data:

Initial Temperature of metal: 98

Answer 1

Heat loss by the metal:

$Q_m=mcΔT \\ = 42.4 \times 0.38 \times (1.6-98) \\ = -1553.2 \;J$

Experimental heat of fusion:

$Q_E = \frac{Q_m + m_{ice} cΔT}{-m_{ice}} \\ = \frac{-1553.2 +4.6 \times 2.04 \times 6.4}{-4.6} \\ = +324.6 \;J$

% error $= |\frac{Q_E-Q_T}{Q_T}| \times 100$

$= |\frac{324.6-334}{334}| \times 100 \\ = 2.81 \; \%$