Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

There are two general types of heat; “Sensible” and “Latent.” Sensible Heat desc

ID: 802452 • Letter: T

Question

There are two general types of heat; “Sensible” and “Latent.” Sensible Heat describes a process where the temperature changes as heat is added or removed. Latent Heat Thermal Energy is absorbed but the temperature does not change, for example between points D and C shown in the graph.

The definition of “Heat Capacity” plays a significant role in sensible heat; it is the ability of a substance to store heat. For pure water, the heat capacity is 1 cal / g °C (1 calorie per every gram of water per every degree change in Celsius), or in words; if I have 1 gram of water and I want to raise it 1°C, I must add 1 Calorie of heat. Determine the following:

5. If I want to raise 2 grams of water 1°C, how much heat should I add? _____________ (1 pt)

6. If I want to raise 1 gram of water 2°C, how much heat should I add? ____________ (1 pt)

The higher the ‘heat capacity’ of an object, the more heat it takes to increase its temperature. Determine the following:

7. Wood has 4 times the heat capacity as steel. If I add the same amount of heat to the same amount of steel and wood, I find the temperature of the steel increases to 40°C. What is the temperature of the wood? ___________ (1 pt)

8. Water has 5 times the heat capacity as soil. If I add the same amount of heat to the same amount of water and soil, I find the temperature of the soil increases to 50°C. What is the temperature of the water? _________ (1 pt)

140 120 100 Latent Latent heat of vaporization (540 cal/gram) 0 Water vapor heat of 80 fusion 60 (80 cal/ gram) Liquid water 2010 -20lce 20 100 200 400 600 780 800 Heat (calories/gram)

Explanation / Answer

5) Q = m *Cp* dT,

where Q is the amount of heat added ;m = mass; Cp = specific heat capacity(4.184 J/g°C) and dT = change in temperature

= 2grams*4.184 J/g°C*1°C =8.368 Joule

6) Q = m *Cp* dT

1 gram*4.184 J/g°C*2°C = 8.368 Joule

7) From Thermodynamics

Q=mcdT, where Q is the heat, m is themass, c is the specific heat and dt is the change in temperature.

Heat capacity is equal to mc

Here heat added,Q is same for steel and wood; and wood has 4 times the heat capacity as steel; and also the temperature of the steel increases to 40°C.

Q steel = Q wood

mc*40°C =4mc*dTwood

dTwood =40°C/4 = 10oC

Temperature of wood is 10oC

8)

Q=mcdT, where Q is the heat, m is the mass, c is the specific heat and dt is the change in temperature.

Heat capacity is equal to mc

Here heat added,Q is same for water and soil; and water has 5 times the heat capacity as soil; and also the temperature of the steel increases to 50°C.

Qwater = Qsoil

mc(water) =5mc(soil)

5mc*dTwater=mc*50°C

dTwater =50°C/5 = 10oC

Temperature of the water is 10oC