Answer to Question #127596 in Molecular Physics | Thermodynamics for nadine

Question

An Ice cube at -35o C is added to 250 g of Apple juice in a 100 g glass cup both
at 25o C, Find the mass of the ice that make the hole system at 5o C where the
specific heat capacity for apple juice is 3.64 kJ/kg. o C, for the water is 4.18
kJ/kg. o C and for glass is 0.2 kJ/kg. o C while for ice is 2.108 kJ/kg. o C and
the fusion specific latent heat is 3.36 kJ/kg. o C.

Answer 1

Let us calculate the total amount of thermal energy and write the equation of balance:

$c_im_i\cdot35K + L_im_i +c_wm_i\cdot 5K = c_jm_j\cdot 20K + c_gm_g\cdot 20K \\ \\$

We can see that we have an equation on m_i. Let us substitute all numerical values and get the mass of ice.

We obtain the value of mass equal to 43 gramms.