This is a thermodynamics question! Please consider all equations for thermo. Please show all steps and ensure the answer is in the correct units! NO TUTOR HAS GOTTEN THIS RIGHT YET :( 1) At 20°C, a glass cube has an edge length of 100 cm. What is the increase in the cube'ssurface area when it is heated from 20°C to 80°C? (The coefficient of linear expansion of glassis 9 x 10-6/°C.)

Answered: 1) At 20°C, a glass cube has an edge…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 12P

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This is a thermodynamics question! Please consider all equations for thermo. Please show all steps and ensure the answer is in the correct units!

NO TUTOR HAS GOTTEN THIS RIGHT YET :(

1) At 20°C, a glass cube has an edge length of 100 cm. What is the increase in the cube's
surface area when it is heated from 20°C to 80°C? (The coefficient of linear expansion of glass
is 9 x 10-6/°C.)

Expert Solution

Step 1

If a solid or liquid experiences a small temperature change, its linear dimensions will change in proportional to the temperature change. The change $∆ L$ of a solid or liquid is:

$∆ L = L α ∆ T$

Where $α$ is the material's coefficient of linear expansion

For glass, $α = 9 \times 10^{- 6} / C °$

At $20 ° C$ the length is L = 100 cm

$∆ T = 80 ° C - 20 ° C$

$∆ T = 60 ° C$

Substituting in formula

$∆ L = 100 c m \times 9 \times 10^{- 6} \frac{1}{C °} \times 60 C ° ∆ L = 1 m \times 9 \times 60 \times 10^{- 6} ∆ L = 540 \times 10^{- 6} m$

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