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High specific heat means a material needed more energy to heat up. There are 2 objects started from the same temperature(25degree) and material A got to 73degrees C and material B got to 33 degrees C in the same amount of time. A had 48 degrees of temp. change and B had 8 degrees of temp change. Which one has the highest specific heat?

User Sajal
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8.1k points

2 Answers

4 votes

Answer:

Yea, it material b

Step-by-step explanation:

User Denis Ivin
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8.9k points
4 votes

Answer:

The material B has the highest specific heat

Step-by-step explanation:

Specific heat is defined as the amount of energy needed to increase by one degree the temperature of a unit mass of a certain substance.

Let's understand this problem better using numeric values and interpreting the results.

The amount of heat a body or substance receives is defined by the following expression:


Q=m*c_(p)*(t_(f)-t_(i)  ) \\where:\\m=mass[kg]\\c_(p)= specific heat [(J)/(kg*C) ]

If both bodies are receiving the same amount of heat Q = 15,000 [J], and both have the same mass, m=20[kg]

We will have:


Material A\\15000=20*C_(p) *(73-25)\\C_(p)=(15000)/((20*48)) \\C_(p)=15.6[(J)/(kg*C) ]\\\\Material B\\15000=20*C_(p) *(33-25)\\C_(p)=(15000)/((20*(8))) \\C_(p)=93.8[(J)/(kg*C) ]

In this way we can interpret that those materials with high specific heat value will require more energy to increase their temperature.

User Josh Powell
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8.3k points
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