The heat capacity, C, of an object is defined as the amount of heat...

(II) The heat capacity, $C$ , of an object is defined as the amount of heat needed to raise its temperature by $1 \mathrm{C}^{\circ}$ . Thus, to raise the temperature by $\Delta \mathrm{T}$ requires heat $Q$ given by

$\mathrm{Q}=\mathrm{C} \Delta \mathrm{T}$

(a) Write the heat capacity $C$ in terms of the specific heat, $c$ , of the material.

(b) What is the heat capacity of $1.0 \mathrm{~kg}$ of water?

(c) Of $45 \mathrm{~kg}$ of water?

Expert Solution

genius_generous answered 2 years ago

The heat capacity of an object indicates how much energy that object can absorb for a...

The heat capacity of an object indicates how much energy that object can absorb for a given increase in that object's temperature. In a system in which two objects of different temperatures come into contact with one another, the warmer object will cool and the cooler object will warm up until the system is at a single equilibrium temperature. Note the difference between the terms molar heat capacity, which has units of J/(mol⋅∘C), and specific heat, which has units of...

Take the heat capacity of ice as 2.108 J/(g*C) and the heat capacity of water as...

Take the heat capacity of ice as 2.108 J/(g*C) and the heat capacity of water as 4.184 J/(g*C) for this problem. For water, DHfus = 6.001 kJ/mol at 0 C. a. A 10.0 gram ice cube at -10.0 C is placed into 45.0 mL of water at 40 C. Determine the final physical state and temperature of the result. Calculate DS for the ice cube and the surrounding water, and Use the value DStot to explain why this process is...

Heat Capacity Learning Goal: To understand the concepts of heat capacity, specific heat, and molar heat...

Heat Capacity Learning Goal: To understand the concepts of heat capacity, specific heat, and molar heat capacity. Heat capacity, C, is the amount of energy required to raise the temperature of a substance by exactly 1 degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small...

Entropy & heat capacity: The definitions for the entropy and heat capacity are pretty similar. So,...

Entropy & heat capacity: The definitions for the entropy and heat capacity are pretty similar. So, what is actually the difference between dS=dq/T and cp = dq/dT? Apply a simple and plausible example to illustrate the different nature of S and cp.

For Sociology: C. Wright Mills defined the sociological imagination as the capacity for individuals to understand...

For Sociology: C. Wright Mills defined the sociological imagination as the capacity for individuals to understand the relationship between their individual lives and the broad social forces that influence them. In other words, the sociological imagination helps people link their own individual biographies to the broader forces of social life: "Neither the life of an individual nor the history of a society can be understood without understanding both" (Mills 1959). In this assignment, you will use this sociological imagination to...

A 62.5 g of iron with a heat capacity of .450 J/C is heated to 100...

A 62.5 g of iron with a heat capacity of .450 J/C is heated to 100 degree C. It is then transferred to a coffee cup calorimeter containing 52.7 g of water (specific heat of 4.184J/g C) initially at 20.63C. if the final temp of the system is 29.59 what was the heat capacity of the calorimeter?

(c++) the constant velocity of an object moving in straight line is defined as r= d/t,...

(c++) the constant velocity of an object moving in straight line is defined as r= d/t, where r is the speed, d is the distance and t is the time it takes to complete movement. write a program that will ask user to enter distance moved and the time needed to complete it. program should calculate speed of that object and print results on screen

The initial temperature of 140 g of ice is −22°C. The specific heat capacity of ice...

The initial temperature of 140 g of ice is −22°C. The specific heat capacity of ice is 0.5 cal/g·C° and waters is 1 cal/g·C°. The latent heat of fusion of water is 80 cal/g. a. How much heat is required to raise the ice to 0°C? b. How much additional heat is required to completely melt the ice after it has reached 0°C? c. How much additional heat is required to heat the water (obtained by melting the ice) to...

An oven has the following specifications: heat capacity = 2000 J/◦C , thermal resistance =0.15 ◦C/watt,...

An oven has the following specifications: heat capacity = 2000 J/◦C , thermal resistance =0.15 ◦C/watt, ambient temperature=20 ◦C, and desired temperature=300 ◦C. a) How long will it take the oven to reach 290 ◦C, without feedback? b) If feedback control is used, what value of K is required to reduce that time to 1 minute?

A heat capacity measurement is the process of adding energy as heat to a substance. In...

A heat capacity measurement is the process of adding energy as heat to a substance. In this kind of process, which state functions would you expect to change? which non-state functions depends on the details of this process???

Question