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BARSIC [14]
3 years ago
10

A student is preparing to perform a series of calorimetry experiments. She first wishes to determine the calorimeter constant (C

cal) for her coffee cup calorimeter. She pours a 50.0 mL sample of water at 345 K into the calorimeter containing a 50.0 mL sample of water at 298 K. She carefully records the final temperature of the water as 317 K. What is the value of Ccal for the calorimeter
Chemistry
1 answer:
Maru [420]3 years ago
3 0

Explanation:

The given data is as follows.

     V_{1} = 50 ml,      T_{1} = 345 K

     T_{2} = 298 K,      T_{f} = 317 K,

    V_{2} = 50 ml

Now, we will calculate the heat energy as follows.

        Q_{hot} = m \times C_{p} \times (T_{1} - T_{f})

                     = 50 g \times 4.184 \times (345 - 317)

                     = 5857.6 J

       Q_{cold} = m \times C_{p} \times (T_{f} - T_{2})

                     = 50 g \times 4.184 \times (317 - 298)

                     = 3974.8 J

As,   Q_{hot} = -Q_{cold} so there will be loss of heat. And, some heat will go to the calorimeter.

Hence,     Q_{hot} = Q_{cold} + Q_{cal}

                 5857.6 = 3974.8 + Q_{cal}

               Q_{cal} = 1882.8 J

We assume that the temperature of (calorimeter + water) is 298 K. Hence,

                  dT = T_{f} - T_{2}

                        = (317 - 298) K

                        = 19 K

Hence, we will calculate the specific heat as follows.

               C = \frac{Q}{dT}

                   = \frac{1882.8 J}{19}

                   = 99.1 J/K

Thus, we can conclude that the value of C_{cal} for the calorimeter is 99.1 J/K.

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