Question

prove that heat loss or gain by an object is equal to the product of the mass of object-specific heat capacity and change in temperature?

Answer 1

Answer:

If objects of equal masses are given equal heat , their final temperature will be different. ... This property is called the specific heat capacity.

Answer 2

Explanation:

• It has been found that heat gained or lost by the body is directly proportional to the mass of the body   & change in temperature,                  as shown below:

                                      $Q =$ heat gain or loss

                                           $Q$  $\alpha$  $m$  ⇒ eq 1.

                                          $Q$  $\alpha$ $dT$  ⇒ eq 2.

                      ∴from these equations we can write as,

                                       $Q$  $\alpha$  $m$ $dT$,

• we can remove proportionaity b adding an constant,

                'S' - "specific heat constant".    

• ∴ the resulting equation is,                                  

                                       $Q=$ $msdT$

∴ it proves that product of mass of object, specific heat capacity and                     change in temperature is equal to Heat loss or gain by an object.