Fundamentals of Momentum, Heat and Mass Transfer
Fundamentals of Momentum, Heat and Mass Transfer
6th Edition
ISBN: 9781118804292
Author: WELTY
Publisher: DGTL BNCOM
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Chapter 2, Problem 2.29P
Interpretation Introduction

Interpretation:

The moment M required to hold the given cube in the position is to be determined.

Concept Introduction:

The force (F)

acting on a surface due to a fluid above it is defined as:

  F=ρgzA ......... (1)

Here, ρ is the density of the fluid with height z , A is the area of the surface, and g is the acceleration due to gravity.

Moment of force (M) is the effect of the force applied at a particular distance from the axis of rotation on a rotational system which leads to its rotation. Mathematically it is written as:

  M=Fd ......... (2)

Here, d is the perpendicular distance from the axis at which the force is applied.

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use the integral method if you can, thank you!
2. A single-effect evaporator is concentrating a feed solution of organic colloids from 5 to 50 wt %. The solution has a negligible boiling point elevation. The heat capacity of the feed is cp . 4.06 kJ/kg K and the feed enters at 15.6 °C. Saturated steam at 101.32 kPa is available for heating, and the pressure in the vapor space of the evaporator is 15.3 kPa. A total of 4536 kg/h of water is to be evaporated. The overall heat-transfer coefficient is 1988 W/m². K. What is the required surface area in m² and the steam consumption?
A mixture with 4% n-pentane, 40% n-hexane, 50% n-heptane, and 6% n-octane is to be distilled at 14.7 lb/in² (1 atm.) with 98% of the hexane and 1% of the heptane recovered in the distillate. If the liquid feed is a saturated liquid (i.e., q = 1). Calculate i.) The product compositions, ii.) The top and bottom temperature iii.) Minimum reflux ratio (Rm), iv.) Minimum theoretical plates and v.) Actual plates when the reflux ratio is 2Rm. Table 1: Component boiling point and molar mass Component Boiling point n-C5 97°F n-C6 156.2°F n-C7 209.1°F n-C8 258.1°F Molar mass 72.2 86.2 100.2 114.2 Hint: Since 1% of heptane is specified to be recovered in the distillate, 99% of heptane is to be recovered in the bottom.
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