The table shows the mass and boiling point of some substances.

Boiling Point of Substances

\begin{tabular}{|l|c|c|}
\hline
\begin{tabular}{c}
Mass \\
[tex]$(kg)$[/tex]
\end{tabular} & \begin{tabular}{c}
Boiling Point of Water \\
[tex]$\left(^{\circ}C\right)$[/tex]
\end{tabular} & \begin{tabular}{c}
Boiling Point of Soybean Oil \\
[tex]$\left(^{\circ}C\right)$[/tex]
\end{tabular} \\
\hline
1 & 100 & 300 \\
\hline
2 & [tex]$M$[/tex] & [tex]$N$[/tex] \\
\hline
\end{tabular}

Part 1: Is the value of [tex]$M$[/tex] less than, greater than, or equal to the value of [tex]$N$[/tex]?

Part 2: Explain your answer for Part 1.



Answer :

Solution:

Part 1:
- The value of \( M \) is less than the value of \( N \).

Part 2:
- To explain this, we look at the boiling points provided in the table. For a mass of 1 kg, the boiling point of water is \( 100^\circ C \) and the boiling point of soybean oil is \( 300^\circ C \).
- Given that the same pattern holds for 2 kg as well, \( M \) represents the boiling point of water for 2 kg and \( N \) represents the boiling point of soybean oil for 2 kg.
- Since the boiling point of water (100°C) is consistently lower than the boiling point of soybean oil (300°C) at 1 kg, the same relationship will hold regardless of the mass, making \( M \) less than \( N \).

Therefore, the value of [tex]\( M \)[/tex] (boiling point of water) is less than the value of [tex]\( N \)[/tex] (boiling point of soybean oil) because [tex]\( 100^\circ C \)[/tex] is less than [tex]\( 300^\circ C \)[/tex].

Explanation:

### Part 1:

The value of \( M \) (the boiling point of water) is less than the value of \( N \) (the boiling point of soybean oil).

### Part 2:

The boiling point of a substance is a characteristic physical property that does not change with the mass of the substance. In the given table, the boiling point of water is shown as 100°C and the boiling point of soybean oil is shown as 300°C for a mass of 1 kg. These boiling points are intrinsic properties of water and soybean oil, respectively, and they remain the same regardless of the quantity of the substance.

Therefore, regardless of whether the mass is 1 kg or 2 kg, the boiling points of water and soybean oil remain constant. Thus:

- The boiling point of water \( M \) is 100°C.

- The boiling point of soybean oil \( N \) is 300°C.

Since 100°C (the boiling point of water) is less than 300°C (the boiling point of soybean oil), \( M \) is less than \( N \).

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