Grade 9 Physics (Heat fusion, Heat Capacity)

In summary, heat fusion is the amount of thermal energy required to change the state of a substance from solid to liquid, or vice versa, while heat capacity is the amount of thermal energy required to raise the temperature of a substance by a certain amount. These concepts affect the melting and boiling points of substances, with higher heat fusion and heat capacity leading to higher melting and boiling points. Heat fusion and heat capacity can be measured for all substances, and can be calculated by dividing the amount of thermal energy required by the mass or change in temperature of the substance. These concepts play a significant role in everyday life, such as in cooking, heating and cooling systems, and in the functioning of our bodies.
  • #1
The_Rice_Immortal
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Homework Statement
The melting point of a solid is 90 C. What is the heat required to change 2.5 kg of this solid at 30 C to a liquid

The specific heat of the solid is (390 j/KG.C) and its heat fusion is (4000 J/KG)
Relevant Equations
Q=mC ΔT heat capacity
Q=mHf heat of fusion
Q1=2.5(390)(90-30) =58500

Q2=2.5(4000) = 10000

Qtotal = 58500+10000

Q=68500

=6.8x10^4

my teacher sent this as a homework but the options were
4.9x10^4 J
1x10^4 J
6.8x10^5 J
5.9x10^4 J

im confused is is this a typo or did i do something wrong
 
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  • #2
I agree with your answer, perhaps they just put a "^5" instead of a "^4"?
 

1. What is heat fusion?

Heat fusion, also known as melting, is the process of changing a substance from a solid state to a liquid state by adding heat energy.

2. How is heat fusion different from heat capacity?

Heat fusion refers to the amount of heat energy needed to change a substance's state, while heat capacity refers to the amount of heat energy needed to change the temperature of a substance.

3. What factors affect the heat fusion of a substance?

The heat fusion of a substance is affected by its chemical composition, pressure, and any impurities present in the substance.

4. How is heat fusion measured?

Heat fusion is measured in joules (J) or calories (cal) per gram (g) of the substance. This is known as the specific heat of fusion.

5. What are some real-life applications of heat fusion?

Heat fusion is commonly used in cooking, such as melting chocolate or butter. It is also used in industrial processes, such as melting metals for casting. Additionally, heat fusion is important in understanding the formation of glaciers and icebergs in nature.

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