Question

A mass m_u = 100 g of liquid water sits in an insulated cup at temperature T_w = 10 degree C. Ice at temperature T_i = -10 degree C is added, and the mixture comes to thermal equilibrium when exactly half of the ice has melted. Find the mass of ice added, m_i. Solve this for the general case of any substance where the solid form of the substance is added to the liquid form. Follow the steps below: Specify that T_1 = -T_s, = T where T is the number of degrees Celsius away from the substance's melting temperature. Also let alphaM_s, be the mass of solid which melts during heat transfer (this means (1 - alpha)M_s is left unbelted), with 0 < alpha < 1. Solve for M_s in terms of T, M_l, c_l, c_s, L_f and alpha. Check your answer by plugging in data from part (a).

Answer 1

1. Half-melted (2) A mass mu-100 g of liquid water sits in an insulated cup at temperature Tw 10°C. Ice at temperature T, =-10°C is added, and the mixture comes to thermal equilibrium when exactly half of the ice has melted (a) Find the mass of ice added, m (b) Solve this for the general case of any substance where the solid form of the substance is added to the liquid form. Follow the steps below i. Specify that TT, T, where T is the number of degrees celsius away from the substance's melting temperature. Also let aM, be the mass of solid which melts during heat transfer (this means (1-a)M, is left unmelted), with 0 < α < 1 ii. Solve for M, in terms of T, MI,CI,G,Lf and α ii. Check your answer by plugging in data from part (a) a Heat given by the water heat taken by the ice Its final temperature is 0C because whole ice is not melt 22 r (339%).* ) + (263) (1*)