Assignment 1 Ch 1&2 with answers

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School

University of Ottawa *

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2324

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Mechanical Engineering

Date

Feb 20, 2024

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pdf

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1

Uploaded by ChiefFlagOstrich42

CHG 3324 Assignment 1 Solution 1. The reading on a mercury manometer at 70 ( ) (open to the atmosphere at one end) is 56.38 cm. The local acceleration of gravity is 9.832 m s -2 . Atmospheric pressure is 101.78 kPa. What is the absolute pressure in kPa being measured? The density of mercury at 70 ( ) is 13.534 g cm -3 . Answer P abs = 176.803 kPa 2. A tank containing 50 kg of water at 20 ℃ is fitted with a stirrer that delivers work to the water at the rate of 0.5 kW. How long does it take for the temperature of the water to rise 3 0℃ if no heat is lost from the water? For water, C p = 4.18 kJ / kg ℃. Answer: Δ t = 3.48 hr 3. One kilogram of air is heated reversible at constant pressure from an initial state of 200 K and 1 bar until its volume triples. Calculate W, Q, ∆U, and ∆H for the process. Assume for air that PV/ T = 83.14 bar cm 3 mol -1 ∙ K -1 and C p = 29 J mol - 1 K -1 . The molecular mass of air is 28.9 g/mole. Answers: W = -115.07 kJ ΔH = 11.6 kJ/mol Q = 401.38 kJ ΔU= 8.27 kJ/mol 4. Water flows through a horizontal coil heated from the outside by high-temperature flue gases. As it passes through the coil the water changes state from liquid at 200 kPa and 80°C to vapor at 100 kPa and 125°C. Its entering velocity is 3 m s -1 and its exit velocity is 200 ms -1 . Determine the heat transferred through the coil per unit mass of water. Enthalpies of the inlet and outlet streams are: Inlet: 334.9 kJ kg -1 ; Outlet: 2726.5 kJ kg -1 Answer: Q=2411.6 kJ/kg
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