At a chemicalplant where you are an engineer,a tank contains an unknownliquid. You must determine theliquid’s specific heat capacity. Youput 0.500 kg of the liquid into aninsulated metal cup of mass 0.200 kg. Initially the liquid and cup are at20.0°C. You add 0.500 kg of water that has a temperature of 80.0°C. Afterthermal equilibrium has been reached, the final temperature of the twoliquids and the cup is 58.1°C. You then empty the cup and repeat the experimentwith the same initial temperatures, but this time with 1.00 kg ofthe unknown liquid. The final temperature is 49.3°C. Assume that the specificheat capacities are constant over the temperature range of the experimentand that no heat is lost to the surroundings. Calculate the specificheat capacity of the liquid and of the metal from which the cup is made.
At a chemical
plant where you are an engineer,
a tank contains an unknown
liquid. You must determine the
liquid’s specific heat capacity. You
put 0.500 kg of the liquid into an
insulated metal cup of mass 0.200 kg. Initially the liquid and cup are at
20.0°C. You add 0.500 kg of water that has a temperature of 80.0°C. After
thermal equilibrium has been reached, the final temperature of the two
liquids and the cup is 58.1°C. You then empty the cup and repeat the experiment
with the same initial temperatures, but this time with 1.00 kg of
the unknown liquid. The final temperature is 49.3°C. Assume that the specific
heat capacities are constant over the temperature range of the experiment
and that no heat is lost to the surroundings. Calculate the specific
heat capacity of the liquid and of the metal from which the cup is made.
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