Chemistry-Dr.Bob

An unknown piece of metal weighing 100. g is heated to 90.0 degrees Celcius. It is dropped into 250 g of water at 20.0 degrees Celcius. When equilibrium is reached, the temperature of both the water and piece of metal is 29.0 degrees Celcius. Determine the specific heat of the metal using the fact that the energy lost by the metal must equal the energy absorbed by the water. Assume that the heat capacity of the container, a Styrofoam cup, is negligible.

My answer: 1.543 J/g C

  1. 👍 2
  2. 👎 0
  3. 👁 1,886
  1. Use ΣmcΔT=0.
    For metal,
    mcΔT=100*c*(29-90)=6100c
    For water,
    mcΔT=250*4.184*(29-20)=9414
    Applying ΣΔT=0
    =>
    100*c*(29-90)=250*4.184*(29-20)
    Solving for c gives 1.543 J-g-1-°C-1 as you had it.

    1. 👍 2
    2. 👎 0
  2. Correction: the answer is more appropriately given as 1.54 J/(g-°C) as all the original information is given to 3 significant figures.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A 50 g sample of an unknown metal is heated to 90.0C. It is placed in a perfectly insulated container along with 100 g of water at an initial temperature of 20C. After a short time, the temperature of both the metal and water

  2. science

    A piece of unknown metal with mass 68.6 g is heated to an initial temperature of 100 °C and dropped into 84 g of water (with an initial temperature of 20 °C) in a calorimeter. The final temperature of the system is 52.1°C. The

  3. Physics

    A 25 gram piece of metal is sitting in a beaker of boiling water. The metal is taken out of the beaker and quickly placed in a calorimeter that contains 85 mL of water at 25.0 degree Celcius. After the metal released all of its

  4. chemistry HELP

    A 46.2 gram sample of copper is heated to 95.4 degrees celcius and then place into a calorimeter containing 75.0 grams of water at 19.6 degrees celcius. The final temp of the water and copper is 21.8 degrees celcius. Calculate the

  1. science

    A piece of unknown metal with mass 68.6 g is heated to an initial temperature of 100 °C and dropped into 84 g of water (with an initial temperature of 20 °C) in a calorimeter. The final temperature of the system is 52.1°C. The

  2. Science

    A piece of unknown metal with a mass of 68.6 grams is heated to an initial temperature of 100 Celsius and dropped into 42 grams of water with an initial temperature of 20 Celsius in a calorimeter the final temperature of the

  3. Science

    A metal object with a mass of 19g is heated to 96 degrees celcius, then transfered to a calorimeter containing 75 g of water at 18 degrees celcius. The water and metal object reach a final temperature of 22 degrees celcius. What

  4. Chemistry

    a 20.94-g sample of an unknown metal is heated to 99.4 degrees Celsius in a hot water bath until thermal equilibrium is reached. The metal is quickly transferred to 100 mL of water at 22.0 degrees Celsius contained in a styrofoam

  1. algebra

    You are trying to compare the Farenheit and Celcius scales and you have two examples; Temperatur A is 50 degrees Celcius and 122 Farenheit. Temperature B is 100 degrees Celcius and 212 degrees Farenheit. What graph models the

  2. Math

    A heated piece of metal cools according to the function c(x)=(.5)^(x−9), where x is measured in hours. A device is added that aids in cooling according to the function h(x)=−x−2. What will be the temperature of the metal

  3. physics

    a 200g aluminum container has 500g of water with an initial temperature of 22 degree celsius. The following heated pieces of metal are dropped into water at the same time as follows: 300g piece of aluminum heated at 100 degree

  4. Chemistry

    A 125-g piece of metal is heated to 288 degrees celsius and dropped into 85.0 g of water at 26 degrees celsius. If the final temperature of water and metal is 58 degrees celsius, what is the specific heat of the metal?

You can view more similar questions or ask a new question.