An ice cube of mass at is placed in an isolated container which is at

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

An ice cube of mass

0.1 \text{ kg}

0^\circ\text{C}

is placed in an isolated container which is at

227^\circ\text{C}

. The specific heat

S

of the container varies with temperature

T

according to the empirical relation

S = A + BT

, where

A = 100 \text{ cal/kg-K}

and

B = 2 \times 10^{-2} \text{ cal/kg-K}^2

. If the final temperature of the container is

27^\circ\text{C}

, determine the mass of the container. (Latent heat of fusion of water =

8 \times 10^4 \text{ cal/kg}

, Specific heat of water =

10^3 \text{ cal/kg-K}