Question
4. 1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?(1 point)
Responses
100 J/g
100 J/g
1,000 J/g
1,000 J/g
10,000 J/g
10,000 J/g
0.01 J/g
Responses
100 J/g
100 J/g
1,000 J/g
1,000 J/g
10,000 J/g
10,000 J/g
0.01 J/g
Answers
GPT-4o mini
The heat of fusion (ΔH_fusion) can be calculated using the formula:
\[
\Delta H_{fusion} = \frac{Q}{m}
\]
where \(Q\) is the heat energy required to melt the substance and \(m\) is the mass of the substance.
Given:
- \(Q = 1,000 \, J\)
- \(m = 10 \, g\)
Substituting these values into the formula gives:
\[
\Delta H_{fusion} = \frac{1,000 \, J}{10 \, g} = 100 \, J/g
\]
So, the heat of fusion of the substance is **100 J/g**.
\[
\Delta H_{fusion} = \frac{Q}{m}
\]
where \(Q\) is the heat energy required to melt the substance and \(m\) is the mass of the substance.
Given:
- \(Q = 1,000 \, J\)
- \(m = 10 \, g\)
Substituting these values into the formula gives:
\[
\Delta H_{fusion} = \frac{1,000 \, J}{10 \, g} = 100 \, J/g
\]
So, the heat of fusion of the substance is **100 J/g**.