Specific Heat Capacity

We need to find the adiabatic bulk modulus of a gas at pressure , expressed in terms of and .
Step 1: Recall the definition of bulk modulus.
The bulk modulus is: For an adiabatic process: .
Step 2: Differentiate the adiabatic condition.
Differentiate with respect to : Step 3: Compute the bulk modulus. Final Answer:

The specific heat capacity is defined as the amount of heat required to raise the temperature of a unit mass by one degree Celsius. The specific heat capacity of a substance is independent of its mass; it is a property of the material itself.
Therefore, when the mass of the copper block is doubled, the specific heat capacity does not change.
Thus, the specific heat capacity remains .