Page 120 - Physics - XI
P. 120

8.  Note all the observations in the observation table. Find (θ – θ ) for each observation and compute
                                                                                  0
                  log (θ – θ ) for each observation.
                            0

              Observations
              Temperature recorded by the thermometer   A = T  = ______ °C
                                                                 1
              Temperature recorded by the thermometer  B = T  = ______ °C
                                                                 2
              Correction to be applied for thermometer     B = (T  – T ) = ______ °C
                                                                  1   2
              Initial corrected temperature of enclosure     = θ  = ______ °C
                                                                 1
              Final corrected temperature of enclosure       = θ  = ______ °C
                                                                 2
                                                                θ + θ
              Mean corrected temperature of enclosure    θ  =    1  2  2   = ______ °C
                                                            0

                                            Table for calculation of cooling with time

                  S. No.     Time t (min)     Temperature of hot water θθ (°C)      (θ (θ – θθ ) (°C)  log (θθ – θθ )
                                                                                          0                      0
                    1.
                    2.
                    3.
                    4.
                    5.

                    6.
                    7.
                    8.
                    9.
                    10.


              Graph
                                                                                         Y
              Plot a graph between time (t) and log (θ – θ ) taking t along
                                                             0
              X-axis and log (θ – θ ) along Y-axis. The graph will be a straight                  Scale used on:
                                   0
              line as shown in Fig. 6.2.                                                          X-axis. 1 cm = ... min.
                                                                                                  Y-axis. 1 cm = ... unit.
              Result
              The graph between log (θ – θ ) and time (t) is a straight line.           log (θ-θ 0 )
                                             0
              Hence, Newton's law of cooling is verifi ed.

              Precautions                                                                Time (t) (in minute)     X
              1.  The hot water in the calorimeter should be continuously and    Fig. 6.2:  Variation of log (θ – θ ) with time
                  gently stirred.                                                                             0

              2.  The starting temperature of hot water in calorimeter should be about 30°C above the room temperature.
              3.  The outer surface of the calorimeter should be blackened.

              4.  Lid must be airtight.


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