The specific heat is the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius (or Kelvin). It is a property that varies from one substance to another, meaning different substances require different amounts of heat to change their temperatures by the same amount. Hence, the statement "Its value is the same for all the substances" is false.
The other statements about specific heat are true:
Therefore, the false statement is the first one, as specific heat indeed differs among various substances.
Concept: Specific heat is the amount of heat required to raise the temperature of 1 kg of a substance by 1 K.
Let’s evaluate each statement:
Final Answer: The false statement is: "Its value is same for all the substances"
The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$. The left and right compartments are filled with $\frac{3}{2}$ and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant $k$ and natural length $\frac{2L}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{L}{2}$ from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is $P = \frac{kL}{A} \alpha$, then the value of $\alpha$ is ____