A 400-g block of iron at 400°C is dropped into a calorimeter containing 60 g of water at 30°C. How much steam is produced? The latent heat of vaporization of water is 22.6 × 10⁵ J/kg. The average specific heat of iron over this temperature range is 560 J/(kg K). A) 22 g B) 33 g C) 42 g D) 54 g E) 59 g

Question

Quizplus · Accepted Answer

The heat lost by the iron block is used to heat the water and convert some of it into steam. Calculate the heat lost by the iron using Q = mcΔT, where m = 0.4 kg, c = 560 J/(kg K), and ΔT = 400°C - 100°C. Then, calculate the heat required to convert water at 100°C to steam using Q = mL, where L = 22.6 × 10^5 J/kg. Equate the heat lost by iron to the heat gained by water and solve for the mass of steam produced. The calculation shows approximately 22 g of steam is produced.

A 400-G Block of Iron at 400°C Is Dropped into a Calorimeter