Suppose you find that an aluminum calorimeters not the speci

Suppose you find that an aluminum calorimeter\'s (not the specific calorimeter you used in today\'s experiment) temperature changes by 10 degree C after N = 500 rotations when 2 kg are hung from the rope. You are then handed a different calorimeter of unknown material. This new calorimeter has the same radius and mass as the aluminum calorimeter, but its temperature changes by 10 degree C after only N = 180 rotations. Calculate the specific heat of the material. Suggest a possible identity for the material based on the data listed in the table at the right.

Solution

Considering the variblles mentioned below as constants in both the specified calorimeter:

1.mass of the calorimeter,

2.temperature rise and

3.the energy supplied

The Heat transfer capacity in a claorimeter is given by

    Heat transfer Capacity = mass of the calorimeter X specific heat of the material X temperature rise

mass of the Calorimeter = mass flow rate X rotational speed

     Therefore,

Heat transfer Capacity in aluminium calorimeter = heat transfer capacity in new calorimeter

Q_a = Q_n

m_a X C_a X (T₂ - T₁) X N₁ = m_n X C_n X (T₂ - T₁) X N₂

here      m_a = m_n

              then

   C_aX N₁ = C_n X N₂

Given that C_a = 0.9 J/g^o C, N₁ = 500 & N₂ = 180

C_n = 2.5 J/g^o C

Specific Heat Capacity of the new material = C_n = 2.5 J/g^o C