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?

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A has a lager heat capacity than B because A raises the temp more than B

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

The heat absorbed by an object is given by the formula:

Q = m * c * ΔT

Where:
Q is the heat absorbed or released
m is the mass of the object
c is the specific heat of the material
ΔT is the change in temperature

Let's compare object A and B:

(A) To find which object has a larger heat capacity, we need to compare the heat absorbed by each object. Since both objects are placed in the same amount of water at the same initial temperature, we can assume that the mass of water (m) and the change in temperature (ΔT) are the same for both objects. Therefore, the heat absorbed is directly proportional to the specific heat (c).

If object A increases the water temperature by 3.50 degrees Celsius, and object B increases the water temperature by 2.60 degrees Celsius, we can conclude that object A absorbed more heat.

Thus, (A) Object A has a larger heat capacity.

(B) We cannot determine the specific heat of object A and B based solely on their effects on the water temperature. The specific heat of a material (c) is an intrinsic property dependent on the material itself. Without additional information, we cannot make any conclusions about the specific heat of A and B.

To determine which object has a larger heat capacity and make conclusions about the specific heat of objects A and B, we can use the formulas related to heat capacity and specific heat.

(A) Heat capacity (C) is defined as the amount of heat energy required to raise the temperature of a substance by a given amount. The formula for heat capacity is:

C = Q / ΔT

Where:
C is the heat capacity,
Q is the heat energy absorbed or released, and
ΔT is the change in temperature.

In this scenario, we know that the heat capacity of object A is larger because it caused a greater temperature change in the water. Object A increased the water temperature by 3.50 degrees Celsius, while object B increased it by only 2.60 degrees Celsius.

(B) Specific heat (Cp) is a property of a substance that relates the heat energy required to the mass and temperature change of that substance. The formula for specific heat is:

Q = m * Cp * ΔT

Where:
Q is the heat energy absorbed or released,
m is the mass of the substance,
Cp is the specific heat, and
ΔT is the change in temperature.

Since both objects A and B were initially placed in boiling water, they would have absorbed the same amount of heat energy to reach the same temperature. Therefore, we can say that the specific heat of objects A and B is the same because they both absorbed the same amount of heat energy and caused different temperature changes in the water.