Suppose that the same amount of heat is added to two 10.0-g blocks of metal, both initially at the same temperature. one block is gold metal, and one is iron metal. which block will have the greater rise in temperature after the addition of the heat?

How much a substance increase its temperature due to heat transfer depends on its specific heat.

The specific heat is the amount of heat required to increase the temperature of one mass of substance in 1 °Celsius.

The lower the specific heat the more the substance change its temperature with a given amount of heat, the greater the specific heat of the substance the lesser the change of temperature with the same amount of heat.

Then, to predict which of the two blocks will have the greater rise you need to compare the specific heats of the metals.

From tables, the specific heat of gold is 0.129 J/g°C and specific heat of iron is 0.450J/g*°C.

Then, gold will raise more its temperature than iron, after the addition of the same amount of heat.

avantikar avantikar · Answer 2 · 2019-08-27T06:33:32+02:00

The gold block will have greater rise in temperature or change in temperature after the addition of heat.

Further Explanation:

The blocks of same mass and different material are kept at same temperature. Later the same amount of heat is added to both the blocks due to which the temperature of the blocks changes.

Given:

The mass of the blocks is [tex]10\,{\text{g}}[/tex].

The specific heat of gold is [tex]0.129\text{J}/g^\circ\text{C}[/tex].

The specific heat of iron is [tex]0.450\text{J}/g^\circ C[/tex].

Concept:

The specific heat of a substance also known as heat capacity per unit mass is the amount of heat required to raise the temperature of a body of mass [tex]1\,{\text{kg}}[/tex] by an amount of [tex]1^\circ {\text{C}}[/tex]. The specific heat of any object depends upon the change in temperature of the object, mass of the object, the substance with which object is made and the phase of the substance.

The specific heat of a block is:

[tex]\fbox{\begin\\{C = \dfrac{Q}{{m \cdot \Delta T}}}\end{minispace}}[/tex] ……. (1)

Here, [tex]C[/tex] is the specific heat of block, [tex]Q[/tex] is the amount of heat added to the block, [tex]m[/tex] is the mass of the block and [tex]\Delta T[/tex] is the change in temperature of the block after heat is added to the block.

Both the blocks, iron and gold block, have same mass and same amount of heat is added to both the blocks.

Therefore, from equation (1) it can be concluded that:

[tex]\fbox{\begin\\{\Delta T \propto \frac{1}{C}}\end{minispace}}[/tex] …… (2)

The change in temperature of an object is inversely proportional to the specific heat of the substance from which object is made. The larger the specific heat lesser will be the change in temperature and lesser the specific heat larger will be the change in temperature.

The specific heat of gold is lesser than the specific heat of iron. From equation (2) the change in temperature of gold block is larger because it has smaller specific heat and change in temperature of iron block is small because it has large specific heat.

Thus, the gold block will have greater rise in temperature or change in temperature after the addition of heat.

Learn more:

1. Conservation of energy brainly.com/question/3943029

2. Average translational kinetic energy https://brainly.com/question/9078768

3. Wind and solar energy https://brainly.com/question/1062501

Answer Details:

Grade: High School

Subject: Physics

Chapter: Thermodynamics

Keywords:

Specific heat, change in temperature, specific heat of gold, specific heat of iron, heat transfer, rise in temperature of an object, blocks of same mass, greater change in temperature.