A piece of hot metal of mass 0 284 kg at 100 0 °C is dropped into insulated beaker cotaining 0 113 kg of water at 23.7 °C. The metal and water wereallowed to come to an equilibrium temperature. If the final temperature of the mixture is 52.1°C. Calculate the specific heat of the metal in units of J/(kg°C)? The specific heat of water is 4186 J/(kg °C).Assuming no heat is lost to the environmentGive your answer as a positive number.QUESTION?

Given data: Mass of hot metal (m1) = 0.284 kg Initial temperature of hot metal (T1) = 100.0°C Mass…

A piece of hot metal of mass 0 284 kg at 100 0 °C is dropped into insulated beaker cotaining 0 113 kg of water at 23.7 °C. The metal and water were allowed to come to an equilibrum temperature. If the final temperature of the mature is 52.1°C. Calculate the specific heat of the metal in units of J/(kg °C)? The specific heat of water is 4186 J/kg °C) Assuming no heat is lost to the environment Give your answer as a positive number.

A piece of hot metal of mass 0 284 kg at 100 0 °C is dropped into insulated beaker cotaining 0 113 kg of water at 23.7 °C. The metal and water were allowed to come to an equilibrum temperature. If the final temperature of the mature is 52.1°C. Calculate the specific heat of the metal in units of J/(kg °C)? The specific heat of water is 4186 J/kg °C) Assuming no heat is lost to the environment Give your answer as a positive number.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter21: Heat And The First Law Of Thermodynamics

Section: Chapter Questions

Problem 71PQ

See similar textbooks

Similar questions

During heavy exercise, the body pumps 2.00 L of blood per minute to the surface, where it is cooled by 2.00C. What is the rate of heat transfer from this forced convection alone, assuming blood has the same specific heat as water and its density is 1050kg/m3 ?
A 0.250-kg aluminum bowl holding 0.800 kg of soup at 27.6°C is placed in a freezer. What is the final temperature if 430 kJ of energy is transferred from the bowl and soup? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is 1.00 kcal/(kg · °C), frozen soup is 0.500 kcal/(kg · °C), and the latent heat of fusion is 79.8 kcal/kg. The specific heat of aluminum is 0.215 kcal/(kg · °C).
A 0.250-kg aluminum bowl holding 0.800 kg of soup at 28.0°C is placed in a freezer. What is the final temperature if 430 kJ of energy is transferred from the bowl and soup? Assume the soup has the same thermal properties as that of water, the specific heat of the liquid soup is 1.00 kcal/(kg · °C), frozen soup is 0.500 kcal/(kg · °C), and the latent heat of fusion is 79.8 kcal/kg. The specific heat of aluminum is 0.215 kcal/(kg · °C). °C
An insulated beaker with negligible mass contains liquid water with a mass of 0.335 kgkg and a temperature of 65.0 ∘C∘C . How much ice at a temperature of -18.3 ∘C∘C must be dropped into the water so that the final temperature of the system will be 20.0 ∘C∘C ? Take the specific heat of liquid water to be 4190 J/kg⋅KJ/kg⋅K , the specific heat of ice to be 2100 J/kg⋅KJ/kg⋅K , and the heat of fusion for water to be 3.34×105 J/kgJ/kg .
A block of metal of mass 0.220 kg is heated to 152.0°C and dropped in a copper calorimeter of mass 0.250 kg that contains 0.200 kg of water at 30°C. The calorimeter and its contents are insulated from the environment and have a final temperature of 46.0°C upon reaching thermal equilibrium. Find the specific heat of the metal in J/(kg · K). Assume the specific heat of water is 4.190 ✕ 103 J/(kg · K) and the specific heat of copper is 386 J/(kg · K).
Suppose that on a dry, sunny day when the air temperature is near 37∘C, a certain swimming pool would increase in temperature by 1.75∘C in one hour if not for evaporation. What fraction of the water in the pool must evaporate during this time to carry away precisely enough energy to keep the temperature of the pool constant? The specific heat of water is 4186 J/(kg·∘C). At 37∘C, the latent heat of vaporization of water is 2430 kJ/kg. Assume that the water in the pool is close enough to 37 ∘C that this value for the latent heat can be used.
A 2 kg mass of aluminium at 80 degrees is immersed in a thermally and insulated water bath if there is a mass of 5kg of water initially 25 degrees Celcius, what is it final temperature of the system?
A 2.80-kg steel ball at 24.7°C is dropped from a height of 15.4 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450 J/(kg·K) and 4186 J/(kg·K) respectively.
A 405-g sample of lead with specific heat cPb = 128 J/(kg · °C) at 87.0°C and a 220-g sample of silver with specific heat cAg = 230.0 J/(kg · °C) at 38.0°C are added to 0.500 kg of water at 22.0°C where specific heat of water cW = 4190 J/(kg · °C) in an insulated container. Assuming the system is thermally isolated, what is its final equilibrium temperature?
A metal rod is 10 cm long and has a diameter of 2 cm one end is in contact with steam at 100 deg C while the other end contacts a block of ice at 0 deg C. The cylindrical surface of the rod is carefully insulated so heat flows only from one end to end. In a time of 20 minutes, 320 grams of ice melts. What is the thermal conductivity of the metal?
An insulated beaker with negligible mass contains liquid water with a mass of 0.210 kgkg and a temperature of 74.1 ∘C . How much ice at a temperature of -22.6 ∘C must be dropped into the water so that the final temperature of the system will be 32.0 ∘C? Take the specific heat of liquid water to be 4190 J/kg⋅KJ/kg⋅K , the specific heat of ice to be 2100 J/kg⋅KJ/kg⋅K , and the heat of fusion for water to be 3.34×105 J/kgJ/kg .
A hot solid substance with mass 3.44kg and temperature 81.5 oC, is taken out of the oven and placed in cool liquid water of mass 2.04kg and temperature 20 oC. Heat flows from the hot substance to the water until they are both at the equilibrium temperature of 31.8 oC. Assuming no heat transfer between the environment and the water/substance system, find the specific heat of the substance. Take the specific heat of water as 4190 Jkg -1C -1. Express your answer to at least 3 significant figures in Jkg -1C -1.