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25 May, 18:32

A 7.5 gram sample of zinc (specific heat = 0.390 J/g°C) is heated and then placed in a calorimeter containing 65.0 grams of water. The temperature of water increases from 20.00°C to 25.00°C. What was the initial temperature of the zinc?

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  1. 25 May, 19:19
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    489.88 was the initial temperature of the zinc.

    Explanation:

    Given:

    mass of zinc = 7.5 grams

    mass of water = 65 grams

    specific heat = 0.390J/g°C

    specific heat of water = 4.184 J/g°C

    initial temperature of water = 20 degrees

    Final temperature of zinc and water will be same as zinc is dissolved in water thus T2zinc and T2 water = 25 degrees

    ΔTzinc = change in temperature T2 - T1

    initial temperature of zinc = ?

    The formula used is

    q = mcΔT for both water and zinc

    putting the values for zinc and water in the formula:

    mzinc x czinc x T2 zinc - T1 zinc = mwater x c water x T2 water - T 1 water

    7.5 x 0.390 x ΔT zinc = - (65 x 4.184 x (25-20)

    2.925 x ΔT zinc = - 1359.8

    ΔT zinc = - 464.88 degrees

    Now,

    ΔT zinc = T2 zinc - T1 zinc

    T1 zinc = - 464.88-20

    =489.88 degrees

    489.88 degrees is the initial temperature of the zinc.
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