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Chapter 6.6 & 6.7 Entropy and Specific Heat. Why is it that the filling of a hot apple pie may be too hot to eat, even though the crust is not?. Entropy. 1 st law- quantity of energy 2 nd law- quality of energy
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Chapter 6.6 & 6.7 Entropy and Specific Heat Why is it that the filling of a hot apple pie may be too hot to eat, even though the crust is not?
Entropy • 1st law- quantity of energy • 2nd law- quality of energy • A further definition of 2nd law: In natural processes, high-quality energy tends to transform into lower quality energy. • A process in which disorder returns to order without external help does not occur
Entropy • And as time increases…….disorder does too • Time always points in the direction from order to disorder • Old movies with damsel in distress tied to a train track. • Next time look for the telltale signs of the smoke entering the smokestack
Entropy • The idea of ordered energy tending to disordered energy is the concept of entropy • Entropy is the measure of how energy spreads to disorder in a system • When disorder increases- entropy increases • The heat from a camp fire cannot spontaneously return to the fire and restore the firewood to its original state. • The molecules of an automobiles exhaust cannot recombine to form highly organized gasoline molecules.
Entropy • When ever a system is allowed to spread its energy freely, it always does so in a manner that increases entropy (disorder) • But energy can be put into a system in the form of WORK. • Living organisms extract energy from their surroundings and use this energy to increase their own organization • This decreases the entropy of the living organism’s system • Plants extract photons of light for energy and create glucose through photosynthesis.
Entropy • Even though the entropy of a living organisms may decrease • It does so by increasing the entropy of its surroundings. • So life forms plus their waist products have a net increase in entropy. • Energy must be transformed within a living system • When it cannot, the organism soon dies and again tends toward disorder.
Specific Heat Capacity • Opening question…discussion • Some foods remain hotter longer than others. • Different substances have different thermal capacities for storing heat. • Water, iron, and silver • Equal masses of different substances require a different quantity of heat to change their temperatures by a specific number of degrees. • Recall calories…. 1g of water needs 1cal of energy to raise the temp 1 degree C.
Specific Heat Capacity • We consider water to have higher specific heat capacity (often called specific heat for short) • The specific heat capacity of any substance is defined as the quantity of heat required to change the temperature of a unit mass of the substance by 1 degree Celsius.
Specific Heat Capacity • A great way to think of specific heat capacity is by thinking of it as thermal inertia • Mathematically explaining specific heat • The specific heat of a substance can be calculated if you know how much heat is put into the material and how much the material changes temperature. • Q= cmΔT • Q is the quantity of heat • c is the specific heat • m is the mass of the object • ΔT is the change in temperature. Remember: Tf - Ti
Practice Problem A • Aluminum has a specific heat of 0.902 J/g x 0C. How much heat is lost when a piece of aluminum with a mass of 23.984 g cools from a temperature of 415.0 oC to a temperature of 22.0 oC? • Solve for Q.. How much heat? • Q= cmΔT
Practice Problem A • Solve for Q.. How much heat? • Q= cmΔT • Q= (0.902 J/g x 0C)(23.984g)(22.0 oC - 415.0 oC)= • Q= 8.50 x 103 J (use correct sigfigs and scientific notation)
Practice Problem B • mass (m) is the unknown: • The temperature of a sample of water increases by 69.5 oC when 24 500 J are applied. The specific heat of liquid water is 4.18 J/g x oC. What is the mass of the sample of water?
Practice Problem B • Solve for m: Q= cmΔT then, m=Q/(c ΔT) • m = 24 500 J/69.5 oC x 4.18 J/g x oC • m = 84.3 g
Practice Problem C • Specific Heat (c) is the unknown: • When 34 700 J of heat are applied to a 350 g sample of an unknown material the temperature rises from 22.0 oC to 173.0 oC. What must be the specific heat of this material?
Practice Problem C • Solve for c:Q= cmΔT then, c=Q/(mΔT) • Cp = 34 700 J/350 g x 151.0 oC • Cp = 0.66 J/g x oC