The Melting Ice Sculpture · AI Generator #GEN-336F384B

Physics · thermodynamics

Problem

An artist creates an ice sculpture for an outdoor winter festival. The sculpture has a mass of

m = 25\;\text{kg}

and is initially at a temperature of

T_i = -15°\text{C}

. During the day, the sculpture absorbs thermal energy from the environment at a constant rate of

P = 180\;\text{W}

. The specific heat of ice is

c_{\text{ice}} = 2100\;\text{J/(kg·°C)}

and the latent heat of fusion for ice is

L_f = 3.34 \times 10^5\;\text{J/kg}

. How long does it take for the sculpture to completely melt?