Samples of iron, silver, and water experience the same temperature rise when the

Question

Samples of iron, silver, and water experience the same temperature rise when they absorb the same amount of heat. [Hint: See Table 14-1 in the textbook] What is the mass ratio of iron and water? (Thank you in advance!)

TABLE 14-1 Specific Heats (at 1 atm constant pressure and 20°C unless otherwise stated) Specific Heat, c kcal/kg Substance Aluminum Alcohol J/kg . Co -cal/g-C) 900 0.22 (ethyl) Copper Glass Iron or steel Lead Marble Mercury Silver Wood Water 2400 390 840 450 130 860 140 230 1700 0.58 0.093 0.20 0.11 0.031 0.21 0.033 0.056 0.4 Ice (-5°C) 2100 0.50 1.00 Steam (110°C) 2010 0.48 (average) 3470 0.83 4186 Liquid (15°C) Human body Protein 1700 0.4

Explanation / Answer

here,

let the amount of heat be H and temprature raised be T

let the mass of iron be mi and mass of water be mw

for water

H = mw * Cw * T

H = mw * 4186 * T ....(1)

for iron

H = mi * Ci * T

H = mi * 450 * T ...(2)

from equation (1) and (2)

mi/mw = 4186/450

mi/mw = 9.3

the mass ratio of iron and water is 9.3 :1

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.