IDNLearn.com makes it easy to get reliable answers from knowledgeable individuals. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

How much energy is required to vaporize 2 kg of aluminum? Use the table below and this equation: [tex]Q = m L_{\text{vapor}}[/tex].

\begin{tabular}{|c|c|c|c|c|}
\hline
Substance & \begin{tabular}{c}
Latent Heat \\
Fusion \\
(melting) \\
(kJ/kg)
\end{tabular} & \begin{tabular}{c}
Melting \\
Point \\
[tex]$\left(^{\circ}C\right)$[/tex]
\end{tabular} & \begin{tabular}{c}
Latent Heat \\
Vaporization \\
(boiling) [tex]$(kJ/kg)$[/tex]
\end{tabular} & \begin{tabular}{c}
Boiling \\
Point \\
[tex]$\left(^{\circ}C\right)$[/tex]
\end{tabular} \\
\hline
Aluminum & 400 & 660 & 1100 & 2450 \\
\hline
Copper & 207 & 1083 & 4730 & 2566 \\
\hline
Gold & 62.8 & 1063 & 1720 & 2808 \\
\hline
Helium & 5.2 & -270 & 21 & -269 \\
\hline
Lead & 24.5 & 327 & 871 & 1751 \\
\hline
Mercury & 11.4 & -39 & 296 & 357 \\
\hline
Water & 335 & 0 & 2256 & 100 \\
\hline
\end{tabular}

A. 2200 kJ
B. 4520 kJ
C. 800 kJ
D. 1794 kJ


Sagot :

To determine the energy required to vaporize 2 kg of aluminum, you can use the equation:

[tex]\[ Q = m \cdot L_{\text{vapor}} \][/tex]

where:
- [tex]\( Q \)[/tex] is the energy required (in kJ),
- [tex]\( m \)[/tex] is the mass of the substance (in kg),
- [tex]\( L_{\text{vapor}} \)[/tex] is the latent heat of vaporization (in kJ/kg).

From the given table, we see that the latent heat of vaporization for aluminum is 1100 kJ/kg.

Given:
- Mass of aluminum, [tex]\( m = 2 \)[/tex] kg,
- Latent heat of vaporization for aluminum, [tex]\( L_{\text{vapor}} = 1100 \)[/tex] kJ/kg.

Plug these values into the equation:

[tex]\[ Q = 2 \, \text{kg} \times 1100 \, \text{kJ/kg} \][/tex]

[tex]\[ Q = 2200 \, \text{kJ} \][/tex]

Therefore, the energy required to vaporize 2 kg of aluminum is:

A. 2200 kJ