Two pieces of metal (A and B) are identical

in every way, except that A has a much larger
thermal expansion coefficient.
If equal amounts of heat are added to both
pieces of metal, which metal does more work
on its surroundings?
1. A
2. B
3. They do the same work.
4. Unable to determine
please help

yes

Which metal’s temperature increases more?

1. Unable to determine
2. Same in both
3. B
4. A

To determine which metal does more work on its surroundings when equal amounts of heat are added to both pieces, we need to consider the concept of thermal expansion and the work done by an object.

When heat is added to an object, it causes the particles within the object to gain energy and move more vigorously, resulting in an increase in temperature. However, different materials respond differently to changes in temperature due to their varying coefficients of thermal expansion.

The coefficient of thermal expansion is a measure of how much a material expands or contracts when its temperature changes. If we have two identical pieces of metal, but one has a larger thermal expansion coefficient than the other, it means that when heated, that particular metal will expand more compared to the other metal.

When an object expands, it exerts force on its surroundings. This force can be used to do work on the surroundings. The work done is given by the equation: work = force * displacement.

In this scenario, since both pieces of metal are identical in every way except for their thermal expansion coefficient, the metal with the larger coefficient will expand more when heated. This expansion creates a greater force on its surroundings, resulting in more work being done compared to the metal with the smaller coefficient.

Therefore, the correct answer is 1. Metal A does more work on its surroundings than metal B when equal amounts of heat are added to both pieces.