To solve these problems, let's break down the given specific heats and answer each question systematically.
1. Which material has the highest specific heat?
- The specific heats provided are:
[tex]\[
\begin{aligned}
&0.90 \, J/g^{\circ}C \\
&0.44 \, J/g^{\circ}C \\
&0.16 \, J/g^{\circ}C \\
&0.83 \, J/g^{\circ}C \\
&0.49 \, J/g^{\circ}C \\
\end{aligned}
\][/tex]
- The highest specific heat among the given values is [tex]\(0.90 \, J/g^{\circ}C\)[/tex].
- Therefore, the material with the highest specific heat is [tex]\(0.90 \, J/g^{\circ}C\)[/tex].
2. Which material has the lowest specific heat?
- The specific heats are the same as listed above.
- The lowest specific heat among the given values is [tex]\(0.16 \, J/g^{\circ}C\)[/tex].
- Therefore, the material with the lowest specific heat is [tex]\(0.16 \, J/g^{\circ}C\)[/tex].
3. Which material has the ability to absorb twice as much heat as aluminum when placed in the same environment of mass and temperature?
- The specific heat of aluminum is given as [tex]\(0.44 \, J/g^{\circ}C\)[/tex].
- To find the material that can absorb twice as much heat, we need to find a specific heat value that is twice that of aluminum:
[tex]\[
2 \times 0.44 \, J/g^{\circ}C = 0.88 \, J/g^{\circ}C
\][/tex]
- We now check the given values to see if there is a specific heat of [tex]\(0.88 \, J/g^{\circ}C\)[/tex]:
[tex]\[
\begin{aligned}
&0.90 \, J/g^{\circ}C \\
&0.44 \, J/g^{\circ}C \\
&0.16 \, J/g^{\circ}C \\
&0.83 \, J/g^{\circ}C \\
&0.49 \, J/g^{\circ}C \\
\end{aligned}
\][/tex]
- None of the given specific heats are [tex]\(0.88 \, J/g^{\circ}C\)[/tex].
Thus, the answers to the questions are:
- Highest specific heat: [tex]\(0.90 \, J/g^{\circ}C\)[/tex]
- Lowest specific heat: [tex]\(0.16 \, J/g^{\circ}C\)[/tex]
- Material that can absorb twice as much heat as aluminum: There isn't one in the provided list.
