Two solid objects, A and B, are placed in boiling water and allowed to come to temperature there. Each is then lifted out and placed in separate beakers containing 1000 g water at 10.0 degrees Celsius. Object A increases the water temperature by 3.50 degrees Celsius; B increases the water temperature by 2.60 degrees Celsius. (A) Which object has a larger heat capacity? (B) What can you say about the specific heat of A and B?

To determine which object has a larger heat capacity, we need to compare the amount of heat energy required to raise the temperature of each object by a given amount.

The heat capacity of an object is the amount of heat energy required to raise its temperature by 1 degree Celsius (or Kelvin).

To find the heat capacity, we can use the formula:

Heat Capacity = Heat Energy / Change in Temperature

For object A:
Heat Energy absorbed by the water = Mass of water * Specific Heat of water * Change in Temperature
Given that the mass of water is 1000 g and the change in temperature is 3.50 degrees Celsius, we can calculate the heat energy absorbed by the water when object A is added to it.

Similarly, we can calculate the heat energy absorbed by the water when object B is added to the water, using the same formula.

Comparing the heat energies absorbed by the water due to object A and object B, we can determine which object has a larger heat capacity. The object that requires more heat energy to produce a given change in temperature has a larger heat capacity.

Now, regarding the specific heat of objects A and B:

The specific heat of a substance is the amount of heat energy required to raise the temperature of 1 gram of the substance by 1 degree Celsius (or Kelvin).

In this scenario, we are not provided with the masses of objects A and B, so we cannot directly compare their specific heats. However, we can make an assumption that both objects have the same mass. Under this assumption, we can say that the specific heats of A and B are the same since they both have the same effect on the water temperature.

To determine which object has a larger heat capacity, we need to compare the amount of heat each object can absorb.

Heat capacity is defined as the amount of heat required to raise the temperature of an object by 1 degree Celsius. Mathematically, heat capacity (C) is given by the equation:

C = Q / ΔT

where Q is the amount of heat absorbed or released, and ΔT is the change in temperature.

For object A, it absorbs enough heat to increase the water temperature by 3.50 degrees Celsius. For object B, it absorbs enough heat to increase the water temperature by 2.60 degrees Celsius.

Since both objects are initially placed in boiling water, they absorb the same initial amount of heat. However, object A increases the water temperature by a greater amount compared to object B. This means that object A has a larger heat capacity than object B.

Now let's consider the specific heat of objects A and B. Specific heat (c) is defined as the amount of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius. Mathematically, specific heat is given by the equation:

c = Q / (m * ΔT)

where Q is the amount of heat absorbed or released, m is the mass of the substance, and ΔT is the change in temperature.

Since both objects are solid and are placed in boiling water before being transferred to the beakers, they absorb the same initial amount of heat. However, the change in temperature is different for both objects. For object A, the change in temperature is 3.50 degrees Celsius, and for object B, it is 2.60 degrees Celsius.

To make a conclusion about the specific heat of objects A and B, we need more information about their masses (m). The specific heat depends on the material properties and cannot be deduced solely from the given information. Without the masses of objects A and B, we cannot determine the specific heat values for each.

mass A x specific heat A x delta T

mass B x specific heat B x delta T.

Calculate heat capacity of each and compare.