Answer :
To find the correct answers, we need to analyze the provided information using the given table and given conditions.
1. From the temperature change from [tex]$25^{\circ}C$[/tex] to [tex]$33^{\circ}C$[/tex], and the substance changing from a solid to a liquid:
- Let's look at the substances:
- Gallium (Ga) has a melting point of [tex]$30^{\circ}C$[/tex].
- Gold (Au) has a melting point of [tex]$1964^{\circ}C$[/tex].
- Methane (CH4) has a melting point of [tex]$-182^{\circ}C$[/tex].
- Nitrogen (N2) has a melting point of [tex]$-210^{\circ}C$[/tex].
- Only Gallium (Ga) fits the condition as its melting point, [tex]$30^{\circ}C$[/tex], is between [tex]$25^{\circ}C$[/tex] and [tex]$33^{\circ}C$[/tex], meaning it would change from a solid to a liquid in this temperature range.
Thus, the substance changing from a solid to a liquid between [tex]$25^{\circ}C$[/tex] and [tex]$33^{\circ}C$[/tex] is Gallium (Ga).
2. In the lab, when methane and nitrogen are cooled from [tex]$-170^{\circ}C$[/tex] to [tex]$-200^{\circ}C$[/tex]:
- Methane (CH4):
- Freezing point: [tex]$-182^{\circ}C$[/tex].
- Starting at [tex]$-170^{\circ}C$[/tex] and cooling to [tex]$-200^{\circ}C$[/tex]:
Methane will freeze because [tex]$-200^{\circ}C$[/tex] is lower than its freezing point of [tex]$-182^{\circ}C$[/tex].
- Nitrogen (N2):
- Boiling point: [tex]$-196^{\circ}C$[/tex].
- Freezing point: [tex]$-210^{\circ}C$[/tex].
- Starting at [tex]$-170^{\circ}C$[/tex] and cooling to [tex]$-200^{\circ}C$[/tex]:
Nitrogen behaves interestingly. Given that its boiling point is [tex]$-196^{\circ}C$[/tex] and freezing point is [tex]$-210^{\circ}C$[/tex], it will transition through liquid state and will freeze below its freezing point.
Thus, the methane freezes, and the nitrogen freezes as well.
3. When gold is heated to [tex]$2560^{\circ}C$[/tex]:
- Gold (Au):
- Melting point: [tex]$1964^{\circ}C$[/tex].
- Boiling point: [tex]$2567^{\circ}C$[/tex].
- Given that gold’s melting point is [tex]$1964^{\circ}C$[/tex], gold will already be in a liquid state when heated beyond this point. Since [tex]$2560^{\circ}C$[/tex] is below its boiling point of [tex]$2567^{\circ}C$[/tex], gold will still be in its liquid state at [tex]$2560^{\circ}C$[/tex] and not converted to gas yet.
Thus, gold when heated to [tex]$2560^{\circ}C$[/tex] changes from a solid to a liquid.
### Summary:
- The substance changing from solid to liquid when the temperature increases from [tex]$25^{\circ}C$[/tex] to [tex]$33^{\circ}C$[/tex] is Gallium (Ga).
- When methane and nitrogen are cooled from [tex]$-170^{\circ}C$[/tex] to [tex]$-200^{\circ}C$[/tex], methane freezes, and nitrogen freezes.
- When gold is heated to [tex]$2560^{\circ}C$[/tex], it changes from a liquid to a liquid (since it hasn't reached its boiling point).
1. From the temperature change from [tex]$25^{\circ}C$[/tex] to [tex]$33^{\circ}C$[/tex], and the substance changing from a solid to a liquid:
- Let's look at the substances:
- Gallium (Ga) has a melting point of [tex]$30^{\circ}C$[/tex].
- Gold (Au) has a melting point of [tex]$1964^{\circ}C$[/tex].
- Methane (CH4) has a melting point of [tex]$-182^{\circ}C$[/tex].
- Nitrogen (N2) has a melting point of [tex]$-210^{\circ}C$[/tex].
- Only Gallium (Ga) fits the condition as its melting point, [tex]$30^{\circ}C$[/tex], is between [tex]$25^{\circ}C$[/tex] and [tex]$33^{\circ}C$[/tex], meaning it would change from a solid to a liquid in this temperature range.
Thus, the substance changing from a solid to a liquid between [tex]$25^{\circ}C$[/tex] and [tex]$33^{\circ}C$[/tex] is Gallium (Ga).
2. In the lab, when methane and nitrogen are cooled from [tex]$-170^{\circ}C$[/tex] to [tex]$-200^{\circ}C$[/tex]:
- Methane (CH4):
- Freezing point: [tex]$-182^{\circ}C$[/tex].
- Starting at [tex]$-170^{\circ}C$[/tex] and cooling to [tex]$-200^{\circ}C$[/tex]:
Methane will freeze because [tex]$-200^{\circ}C$[/tex] is lower than its freezing point of [tex]$-182^{\circ}C$[/tex].
- Nitrogen (N2):
- Boiling point: [tex]$-196^{\circ}C$[/tex].
- Freezing point: [tex]$-210^{\circ}C$[/tex].
- Starting at [tex]$-170^{\circ}C$[/tex] and cooling to [tex]$-200^{\circ}C$[/tex]:
Nitrogen behaves interestingly. Given that its boiling point is [tex]$-196^{\circ}C$[/tex] and freezing point is [tex]$-210^{\circ}C$[/tex], it will transition through liquid state and will freeze below its freezing point.
Thus, the methane freezes, and the nitrogen freezes as well.
3. When gold is heated to [tex]$2560^{\circ}C$[/tex]:
- Gold (Au):
- Melting point: [tex]$1964^{\circ}C$[/tex].
- Boiling point: [tex]$2567^{\circ}C$[/tex].
- Given that gold’s melting point is [tex]$1964^{\circ}C$[/tex], gold will already be in a liquid state when heated beyond this point. Since [tex]$2560^{\circ}C$[/tex] is below its boiling point of [tex]$2567^{\circ}C$[/tex], gold will still be in its liquid state at [tex]$2560^{\circ}C$[/tex] and not converted to gas yet.
Thus, gold when heated to [tex]$2560^{\circ}C$[/tex] changes from a solid to a liquid.
### Summary:
- The substance changing from solid to liquid when the temperature increases from [tex]$25^{\circ}C$[/tex] to [tex]$33^{\circ}C$[/tex] is Gallium (Ga).
- When methane and nitrogen are cooled from [tex]$-170^{\circ}C$[/tex] to [tex]$-200^{\circ}C$[/tex], methane freezes, and nitrogen freezes.
- When gold is heated to [tex]$2560^{\circ}C$[/tex], it changes from a liquid to a liquid (since it hasn't reached its boiling point).
