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A small spherical marble, 1 cm in diameter and weighing 1.5 g, is sinking slowly in a calm lake, 2.5 km deep. How long will it take to reach the bottom of the lake? Assume that the marble will not encounter any obstruction as it falls down the lake floor and immediately reaches the terminal velocity upon dropping. Also, lake water can be assumed to be pure at 20 °C. The density of water at this temperature is 998.21 kg/m³ and its viscosity is 1.002 cP. Express your answer in hours and three significant figures.

A small spherical marble, 1 cm in diameter and weighing 1.5 g, is sinking slowly in a calm lake, 2.5 km deep. How long will it take to reach the bottom of the lake? Assume that the marble will not encounter any obstruction as it falls down the lake floor and immediately reaches the terminal velocity upon dropping. Also, lake water can be assumed to be pure at 20 °C. The density of water at this temperature is 998.21 kg/m³ and its viscosity is 1.002 cP. Express your answer in hours and three significant figures.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Problem 1 (Free Settling of Sphere) A small spherical marble, 1 cm in diameter and weighing 1.5 g, is sinking slowly in a calm lake, 2.5 km deep. How long will it take to reach the bottom of the lake? Assume that the marble will not encounter any obstruction as it falls down the lake floor and immediately reaches the terminal velocity upon dropping. Also, lake water can be assumed to be pure at 20 °C. The density of water at this temperature is 998.21 kg/m³ and its viscosity is 1.002 cP. Express your answer in hours and three significant figures.
Transcribed Image Text:Problem 1 (Free Settling of Sphere) A small spherical marble, 1 cm in diameter and weighing 1.5 g, is sinking slowly in a calm lake, 2.5 km deep. How long will it take to reach the bottom of the lake? Assume that the marble will not encounter any obstruction as it falls down the lake floor and immediately reaches the terminal velocity upon dropping. Also, lake water can be assumed to be pure at 20 °C. The density of water at this temperature is 998.21 kg/m³ and its viscosity is 1.002 cP. Express your answer in hours and three significant figures.
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