4. A rod of an unknown material grows in length by 0.30% when its temperature is raised by 140 C, at which point it melts. In liquid form, it is poured into a container, and allowed to cool so that it solidifies. When it has cooled by 90 C, by what percentage has the volume of the contents of the container gone down?
4. A rod of an unknown material grows in length by 0.30% when its temperature is raised by 140 C, at which point it melts. In liquid form, it is poured into a container, and allowed to cool so that it solidifies. When it has cooled by 90 C, by what percentage has the volume of the contents of the container gone down?
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Question
![### Problem
A rod of an unknown material grows in length by 0.30% when its temperature is raised by 140°C, at which point it melts. In liquid form, it is poured into a container and allowed to cool so that it solidifies. When it has cooled by 90°C, by what percentage has the volume of the contents of the container gone down?
### Options
a. 0.16%
b. 0.19%
c. 0.47%
d. 0.58%
e. 0.90%
### Explanation
The question involves understanding the relationship between temperature change and material properties, specifically how the volume of a material changes with temperature. The given data indicates a linear thermal expansion due to the change in temperature. The student is required to calculate the percentage decrease in the volume of the solidified material.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F153bfb9c-b05e-4b91-94e3-9e151aaf7f28%2F2a2dc0cf-eb43-466e-92c2-6061a7fb392e%2Fj0vcvx_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem
A rod of an unknown material grows in length by 0.30% when its temperature is raised by 140°C, at which point it melts. In liquid form, it is poured into a container and allowed to cool so that it solidifies. When it has cooled by 90°C, by what percentage has the volume of the contents of the container gone down?
### Options
a. 0.16%
b. 0.19%
c. 0.47%
d. 0.58%
e. 0.90%
### Explanation
The question involves understanding the relationship between temperature change and material properties, specifically how the volume of a material changes with temperature. The given data indicates a linear thermal expansion due to the change in temperature. The student is required to calculate the percentage decrease in the volume of the solidified material.
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