DATA 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.
DATA 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.
DATA 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.
The heat of evaporation of water at atmospheric pressure is Lv 2260 kJ/kg.
a. How much of this heat represents work done to expand the water into steam against the pressure of the atmosphere?
b. What becomes of the rest of the heat? At T= 100°C and p=1.0 atm, the density of water is 1.00 × 10³ kg/m³ and the density of steam is 0.600kg/m³?
An unknown material, m1 = 0.25 kg, at a temperature of T1 = 94 degrees C is added to a Dewer (an insulated container) which contains m2 = 1.1 kg of water at T2 = 24 degrees C. Water has a specific heat of cw = 4186 J/(kg⋅K). After the system comes to equilibrium the final temperature is T = 34.6 degrees C.
a)Input an expression for the specific heat of the unknown material.
b)What is the specific heat in J/(kg⋅K)?
A thirsty nurse cools a 2.30 LL bottle of a soft drink (mostly water) by pouring it into a large aluminum mug of mass 0.257 kgkg and adding 0.123 kgkg of ice initially at -14.0 ∘C∘C. If the soft drink and mug are initially at 20.9 ∘C∘C, what is the final temperature of the system, assuming no heat losses?
Chapter 17 Solutions
University Physics with Modern Physics (14th Edition)
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