Calorimetry

Step 1: Understanding the Concept:
Rate of heat conduction . For a uniform rod, and are constant. So .

Step 2: Detailed Explanation:
Length AB = 0.4 m, temperature difference =
Length BC = 0.6 m, temperature difference =

Ratio =

Step 3: Final Answer:
The ratio is .

Step 1: Understanding the Concept:
Heat to be withdrawn = heat released during freezing = .

Step 2: Detailed Explanation:


Step 3: Final Answer:
must be withdrawn.

Step 1: Understanding the Concept:
When two bodies at different temperatures are placed in thermal contact in an isolated system, heat flows from the hotter body to the colder body until they reach a common equilibrium temperature. The principle of calorimetry states that heat lost equals heat gained.

Step 2: Key Formula or Approach:
Heat transferred .
Set .

Step 3: Detailed Explanation:
Let the two bodies be A and B.
Mass of A = , Specific heat , Initial temp =
Mass of B = , Specific heat , Initial temp =
Let the final equilibrium temperature be .
Assume . Body A loses heat, Body B gains heat.
Heat lost by A:
Heat gained by B:
According to calorimetry principle:


Cancel common terms and :


Rearrange to solve for :




Step 4: Final Answer:
The equilibrium temperature is .