AH of water is 40.79 kJ/mol.vapAHfus of water is 6.01 kJ/mol.The specific heats of ice, liquidwater, and steam are 2.03J/g.°C, 4.184 J/g.°C, and 1.99J/g.°C,respectively. How much heat in kJ is required to convert 17.7 moles of water at 35°C to steam at 127.0°C?860Previous

Moles of water = 17.7 mol Molar mass of water = 18.01528 g/mol Number of Moles of water = mass of waterMolar mass of watermass of water = Number of Moles of water × Molar mass of watermass of water =17.7 mol × 18.01528 g/molmass of water = 318.87 g Step 1. Calculate heat (q1) required to warm the water from 35 0C to 100 0C q1 = m×c×∆T where, m = mass of water = 318.87 g c = specific heat of water = 4.184 J/g.0C ∆T = (100 0C - 35 0C) = 65 0C Putting values in equation we get, q1 = m×c×∆Tq1 = 318.87 g×4.184 J/g.0C×65 0Cq1 = 86719.88 J(1 KJ = 1000 J)Therefore, q1 =86.72 KJ Step 2. Calculate heat (q2) required to vapourize the water to steam at 100 °C q2 = n×∆Hvap where, n = number of moles of water = 17.7 mol ∆Hvap = ∆Hvap of water = 40.79 KJ/mol Putting values in equation we get, q2 = n×∆Hvapq2 =17.7 mol × 40.79 KJ/mol q2 =721.98 KJStep 3. Calculate heat (q3) required to warm the steam to 127.0 °C q3 = m×c×∆T where, m = mass of water = 318.87 g c = specific heat of steam = 1.99 J/g.0C ∆T = (127 0C - 100 0C) = 27 0C Putting values in equation we get, q3 = m×c×∆Tq3 =318.87 g×1.99 J/g.0C ×27 0Cq3 =17132.88 J(1KJ = 1000 J)Therefore, q3 =17.13 KJStep 4. Calculate heat (q) in KJ required to convert 17.7 moles of water at 35 °C to steam at 127.0 °C q = q1 + q2 + q3 q1 = 86.72 KJ q2 = 721.98 KJ q3 = 17.13 KJ Putting values in equation we get, q = q1 + q2 + q3q =86.72 KJ + 721.98 KJ + 17.13 KJq =825.83 KJ Heat (q) in KJ required to convert 17.7 moles of water at 35 °C to steam at 127.0 °C = 825.83 KJ

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How much heat in kJ is required to convert 17.7 moles of water at 35°C to steam at 127.0°C? 860

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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