Question

A well-insulated bucket of negligible heat capacity contains 134 g of ice at 0°C.

(a) If 21 g of steam at 100°C is injected into the bucket, what is the final equilibrium temperature of the system?
°C

(b) What mass of ice remains?
g

Answer 1

a)

let the final temperature is T

heat needed for ice to melt = 134 * 334 = 44756 J

heat ejected from steam = 21 * (4.186 * 100 + 2240)

heat ejected from steam = 55830 J

as the heat ejected is more than heat needed to melt ice

hence , there will be no ice left

let the final temperature is T

44756 + 134 * 4.186 * T = 21 * (4.186 * (100 -T) + 2240)

solving for T

T = 17.1 degree

the temperature of the system is 17.1 degree

b)

there will be no mass of ice remains