The only possibility of heat flow in a thermos flask is through its cork which is 75 cm2 in area and 5 cm thick. Its thermal conductivity is 0.0075 cal/cmsec∘ C. The outside temperature is 40∘ C and latent heat of ice is 80 cal g−1. Time taken by 500 g of ice at 0∘ C in the flask to melt into water at 0∘ C is
2.47 hr
mL = KA △ θ t△ x⇒500 × 80 = 0.0075 × 75 ×(40 − 0)t5
⇒t = 8.9 × 103 sec = 2.47 hr.