SEATWORK 2. Steam at a temperature of 110°C is added to an aluminum calorimeter

Question

SEATWORK 2. Steam at a temperature of 110°C is added to an aluminum calorimeter containing 250g of water at 309C.. The mass of the calorimeter is 140gand of specific heat 0.22 cal/g.C°. Find the mass of steam needed that will produce a mixture of temperature 50°C. (Assume no heat is lost or gained from the surrounding.) 3. A small electric immersion heater is used to heat 91 g of water for a cup of instant coffee. The heater is labeled "130 watts" (it converts electrical energy to thermal energy at this rate). Calculate the (a)time required to bring all this water from 21°C to 100° Cand (b) time it takes to boil all water away ignoring any heat losses. (The specific heat of water is 4186 J/kg K. and latent heat of vaporization of 226000 J/kg) e-i G bu Redishn Sen 4 on&m the Q: 328x

Explanation / Answer

let the mass of steam be "m"

L = latent heat of fusion of steam to water = 533 cal/g

cs = specific heat of steam = 0.48

cw = specific heat of water = 1

M = mass of water = 250 g

Mc = mass of calorimeter = 140 g

c = specific heat of calorimeter = 0.22

Heat lost by steam = Heat gained by water + Heat gained by calorimeter

m cs (110 - 100) + mL + m cw (100 - 50) = M cw (50 - 30) + Mc c (50 - 30)

m (0.48) (10) + m(533) + m (1) (50) = (250) (1) (20) + (140)(0.22) (20)

m = 9.6 g

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