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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### 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.
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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