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The same amount of heat is added to a 10-g sample of each of the following metals. If each metal is initially at 20.0°C, which metal will reach the highest temperature? show your work
A. gold 0.129 J/(g °C)
B. beryllium 1.82 J/(g °C)
C. calcium 0.653 J/(g °C)
D. copper 0.385 J/(g °C)

Sagot :

Answer: A

Explanation:

A

Heat is the product of the mass, specific heat, and delta temperature. The gold metal will reach the highest temperature. Thus, option A is correct.

What is specific heat?

Specific heat (c) is the heat required by a substance to get heated a unit mass by a unit of temperature. The specific heat is given as,

[tex]\rm c = \rm \dfrac{Q}{m \times \Delta T}[/tex]

Here, Q is the heat applied, m is the sample's mass and delta T is the change in the temperature.

The value of heat applied is the same for all the metals, so a change in temperature is calculated as,

[tex]\rm \Delta T = \rm \dfrac{Q}{c . m }[/tex]

From this, it can be said that the temperature is inversely related to the specific heat of the metal and hence the metal having the smallest c will have the highest change in the temperature.

Therefore, gold (c = 0.129 J/(g°C)) will reach the highest temperature.

Learn more about specific heat here:

https://brainly.com/question/17218176

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