High School

We appreciate your visit to The temperature of a copper cube is increased by 35 0 C The linear coefficient of thermal expansion is 17 0 10 6 C The. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The temperature of a copper cube is increased by 35.0°C. The linear coefficient of thermal expansion is 17.0 × 10-6/°C. The fractional change in volume is Group of answer choices 3.00 × 10-3. 2.67 × 10-3. 2.33 × 10-3. 2.00 × 10-3. 1.79 × 10-3.

Answer :

Final Answer:

The fractional change in volume when the temperature of a copper cube is increased by 35.0°C, with a linear coefficient of thermal expansion of [tex]17.0 × 10^-6/°C, is 2.33 × 10^-3.[/tex]

Explanation:

When a material is subjected to a change in temperature, it undergoes thermal expansion or contraction. In this case, we are dealing with a copper cube, and we need to find the fractional change in volume. To do this, we can use the formula for linear thermal expansion:

ΔL = α * L0 * ΔT

Where:

ΔL is the change in length,

α is the linear coefficient of thermal expansion (given as 17.0 × [tex]10^-6[/tex]/°C for copper),

L0 is the original length of the cube, and

ΔT is the change in temperature (given as 35.0°C).

Now, to find the change in volume, we can use the formula for volume, which depends on the cube's sides:

V = [tex]L^3[/tex]

So, the fractional change in volume (ΔV/V) is:

ΔV/V = [tex][(ΔL/L0)^3][/tex]

Substituting the values we have:

ΔV/V = [(α * ΔT)^3]

ΔV/V =[tex][(17.0 × 10^-6/°C * 35.0°C)^3][/tex]

ΔV/V =[tex](0.00000595)^3[/tex]

ΔV/V ≈ [tex]2.33 × 10^3[/tex]

So, the fractional change in volume is approximately [tex]2.33 × 10^-3.[/tex]

Learn more about fractional change

brainly.com/question/33440318

#SPJ11

Thanks for taking the time to read The temperature of a copper cube is increased by 35 0 C The linear coefficient of thermal expansion is 17 0 10 6 C The. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada