Question

In: Physics

Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container...

Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container made of the metal has a mass of 3.10 kg and contains 11.1 kg of water. A 1.10 kg piece of the same metal, initially at a temperature of 140 degrees C, is placed in the water. The container and water initially have a temperature of 15 degrees C, and the final temperature of the entire system is 18 degrees C.

Solutions

Expert Solution

Specific heat of water

Let the specific heat of metal

Mass of the block

Initial temperature of metal block

Final temperature of metal block

∴ Heat lost by metal block

Container is made of same metal.

So, specific heat of container = specific heat of metal

So, specific heat of container

Mass of the container

Initial temperature of container

Final temperature of container

∴ Heat gained by container

specific heat of water

Mass of the water

Initial temperature of water

Final temperature of water

∴ Heat gained by water

By conservation of energy,

Heat gained by water + Heat gained by container = Heat lost by metal block

So, the specific heat of metal

genius_generous answered 6 months ago
Next > < Previous

Related Solutions

A 45.0-gram sample of copper metal was heated from 20.0 C to 100.0 C. Calculate the...
A 45.0-gram sample of copper metal was heated from 20.0 C to 100.0 C. Calculate the heat absorbed (in kJ) by the metal. If this 45.0-gram sample of copper is now placed in 150 grams of water at 20.0 C in a calorimeter, what will be the temperature of the water at thermal equilibrium? What gains heat? What loses heat? How much heat is exchanged (in kJ)? Specific heat of Copper .385 and a density of 8.92
Specific Heat Capacity Data Table: Metal 1 Metal 2 Mass of the metal slug (g) 58.982...
Specific Heat Capacity Data Table: Metal 1 Metal 2 Mass of the metal slug (g) 58.982 56.162 Color of slug silver Dark silver Mass of the empty coffee cup (g) 3.318 3.318 Mass of water + coffee cup (g) 50.010 51.032 Mass of water (g) 46.692 46.692 Ti of metal (°C) 4.16 6.1 Ti of water (°C) 24.42 24.42 Tf (°C) 28.58 30.52 ΔT of metal (°C) ΔT of water (°C) Calculate the specific heat capacity of both metal slugs...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 2. Find the boundary of the critical region for the Type I error probability and sample size provided. Round your answers to two decimal places (e.g. 98.76). (a) a(alpha)=.01 and n=2 ≤ x̄≤ (b)= a=.05 and n=2 ≤ x̄≤ (c)= a=.01 and n=7 ≤ x̄≤ (d)= a=.05 and n=7 ≤ x̄≤ Please show...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100, and the standard deviation is 3. (a) Test H0: μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens and α=0.05. (b) In another study, the acceptance region is found to be 98.5≤X≤101.5. If n=9, find the value of α used in this study.
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The...
The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The population mean is thought to be 100, and the population standard deviation σ is 2. You wish to test H0 : µ = 100 versus H1 : µ 6= 100. Note that this is a two-sided test and they give you σ, the population standard deviation. (a) State the distribution of X¯ assuming that the null is true and n = 9. (b) Find...
A 3-kg mass of metal of specific heat = 0.1 kcal/kg°C at a temperature of 600°C...
A 3-kg mass of metal of specific heat = 0.1 kcal/kg°C at a temperature of 600°C is dropped into 1.0 kg water at 20°C. With no heat losses to the surroundings, determine the equilibrium temperature of the mixture, and if it is 100°C, calculate what mass of water is turned into steam at this temperature. Group of answer choices 100°C and 110 g of steam 100°C and 150 g of steam 100°C and 130 g of steam 100°C and 70...
The specific heat capacity of an unknown metal was determined following Part A of the Experimental...
The specific heat capacity of an unknown metal was determined following Part A of the Experimental Procedure in this experiment. The following table is for Trial 1. Mass of unknown metal (g) 15.45 Temperature of unknown metal (oC) 95.4 Mass of water(g) 100.0 The specific heat of water (J/g.oC) 4.184 Temperature of water (oC) 23.0 Maximum temperature of water (oC) 25.8 Calculate the specific heat capacity of unknown metal (J/g.oC) _____
In a calorimetry experiment to determine the specific heat capacity of a metal block, the following...
In a calorimetry experiment to determine the specific heat capacity of a metal block, the following data was recorded: Quantity Mass of the metal block 0.50 kg Mass of empty calorimeter + Stirrer 0.06 kg Mass of calorimeter + stirrer + water 0.20 kg Mass of water 0.14 kg Initial Temperature of metal block 55.5 ⁰C Initial Temperature of water and calorimeter 22 ⁰C Final Temperature of block- water system 27.4 ⁰C Take the specific heat capacity of water to...
1. An unknown metal is found to have a specific heat capactiy of 0.281. From this,...
1. An unknown metal is found to have a specific heat capactiy of 0.281. From this, calculate its molar mass. 1. A student measures the initial temperature of an object as 26.17oC and the final temperature as 56.82 oC. What is the change in temperature in units of Kelvin? 2 A student measures the initial temperature of an object as 26.17oC and the final temperature as 56.82 oC. What is the change in temperature in units of Kelvin? 3. 51.59...
An ice “calorimeter” can be used to determine the specific heat capacity of a metal. A...
An ice “calorimeter” can be used to determine the specific heat capacity of a metal. A piece of hot metal is        dropped onto a weighed quantity of ice. The energy transferred from the metal to the ice can be determined        from the amount of ice melted. Suppose you heat a 9.36-g piece of platinum to 98.6 °C in a boiling water bath        and then drop it onto ice at 0.0 °C. When the temperature of the metal...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT