Answer to Question #144427 in General Chemistry for martha

Question

a 13.8g of zinc is heated to 98.8 degree Celsius in boiling water and then dropped onto a beaker containing 45.0 g of water at 25.o degree Celsius. when the water and metal come to thermal equilibrium the temperature is 27.1 degree Celsius. what is the specific heat capacity?

Answer 1

$m_z = 13.8g\\ T_z = 98.8°C\\ m_w = 45.0g\\ T_w = 25°C\\ T_m = 27.1°C\\ c_w = 4.184J/kg.K\\ c_z = ?$

from, $\begin{aligned} m_zc_z(T_z -T_m) &= m_wc_w(T_m -T_w)\\ 13.8×c_z ×(98.8-27.1) &= 45×4.184 ×(27.1-25)\\ 13.8×71.7×c_z &= 45 × 4.184 × 2.1\\ 989.46 ×c_z &= 395.39\\ c_z = 0.4J/g.K \end{aligned}$