A chip that is of length L = 5.4 mm on a side and thickness t = 1.7 mm is encased in a ceramic substrate, and its exposed surface is convectively cooled by a dielectric liquid for which h = 150 W/m².K and T = 20°C. Th Chip, q. T., P. Cp The time is i Substrate In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric heating with à = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction resistance within the chip, determine the steady-state chip temperature Ty. Following activation of the chip, how long does it take to come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg.K, respectively. The steady-state chip temperature T, is i S. °C.
A chip that is of length L = 5.4 mm on a side and thickness t = 1.7 mm is encased in a ceramic substrate, and its exposed surface is convectively cooled by a dielectric liquid for which h = 150 W/m².K and T = 20°C. Th Chip, q. T., P. Cp The time is i Substrate In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric heating with à = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction resistance within the chip, determine the steady-state chip temperature Ty. Following activation of the chip, how long does it take to come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg.K, respectively. The steady-state chip temperature T, is i S. °C.
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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![A chip that is of length L = 5.4 mm on a side and thickness t = 1.7 mm is encased in a ceramic substrate, and its exposed surface is
convectively cooled by a dielectric liquid for which h = 150 W/m².K and T = 20°C.
Th
Chip,
q. T. P. Cp
The time is i
Substrate
In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature
increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric
heating with a = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction
resistance within the chip, determine the steady-state chip temperature Tƒ. Following activation of the chip, how long does it take to
come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg.K, respectively.
The steady-state chip temperature T', is i
S.
Physical Properties Mathematical Functions
°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd45549d6-10be-4627-b6c0-8aa56fbe10f1%2Fab685736-6c1e-4f3e-b9d6-08da72eabfaa%2Fiiq72dj_processed.png&w=3840&q=75)
Transcribed Image Text:A chip that is of length L = 5.4 mm on a side and thickness t = 1.7 mm is encased in a ceramic substrate, and its exposed surface is
convectively cooled by a dielectric liquid for which h = 150 W/m².K and T = 20°C.
Th
Chip,
q. T. P. Cp
The time is i
Substrate
In the off-mode the chip is in thermal equilibrium with the coolant (T; = T). When the chip is energized, however, its temperature
increases until a new steady state is established. For purposes of analysis, the energized chip is characterized by uniform volumetric
heating with a = 9 x 106 W/m³. Assuming an infinite contact resistance between the chip and substrate and negligible conduction
resistance within the chip, determine the steady-state chip temperature Tƒ. Following activation of the chip, how long does it take to
come within 1°C of this temperature? The chip density and specific heat are p = 2000 kg/m³ and c = 700 J/kg.K, respectively.
The steady-state chip temperature T', is i
S.
Physical Properties Mathematical Functions
°C.
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