Let's analyze the given data step-by-step to answer the question.
### Understanding the Table
The table provides the boiling points of water and soybean oil at two different masses. Specifically, it gives us:
- At 1 kg, the boiling point of water is 100 degrees Celsius.
- At 1 kg, the boiling point of soybean oil is 300 degrees Celsius.
### Part 1: Comparing [tex]$M$[/tex] and [tex]$N$[/tex]
We need to determine the relationship between [tex]$M$[/tex] and [tex]$N$[/tex].
By examining the table, we know:
- For water, the boiling point remains constant at 100 degrees Celsius regardless of mass.
- For soybean oil, the boiling point remains constant at 300 degrees Celsius regardless of mass.
Thus:
- The boiling point of water at 2 kg (denoted as [tex]$M$[/tex]) is still 100 degrees Celsius.
- The boiling point of soybean oil at 2 kg (denoted as [tex]$N$[/tex]) is still 300 degrees Celsius.
Now, let's compare [tex]$M$[/tex] and [tex]$N$[/tex]:
- [tex]$M$[/tex] represents the boiling point of water, which is 100 degrees Celsius.
- [tex]$N$[/tex] represents the boiling point of soybean oil, which is 300 degrees Celsius.
Since [tex]$100$[/tex] is less than [tex]$300$[/tex], we can conclude that [tex]$M$[/tex] is less than [tex]$N$[/tex].
Conclusion for Part 1:
The value of [tex]$M$[/tex] is less than the value of [tex]$N$[/tex].
### Part 2: Explanation of Part 1
To explain why [tex]$M$[/tex] is less than [tex]$N$[/tex], we need to consider the constancy of boiling points for pure substances.
The boiling point of a pure substance, such as water or soybean oil, does not change with the amount (mass) of the substance. Therefore:
- The boiling point of water remains at 100 degrees Celsius regardless of whether we have 1 kg or 2 kg.
- The boiling point of soybean oil remains at 300 degrees Celsius regardless of whether we have 1 kg or 2 kg.
Given this, at 2 kg, the boiling points remain:
- [tex]$M = 100$[/tex] degrees Celsius for water.
- [tex]$N = 300$[/tex] degrees Celsius for soybean oil.
Since 100 degrees Celsius is less than 300 degrees Celsius, it is clear that the boiling point of water ([tex]$M$[/tex]) is less than the boiling point of soybean oil ([tex]$N$[/tex]).
Conclusion for Part 2:
The boiling point of water is constant at 100 degrees Celsius, while the boiling point of soybean oil is constant at 300 degrees Celsius. Since 100 is less than 300, the value of [tex]$M$[/tex] is less than the value of [tex]$N$[/tex].
