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1st Download the word document - guided notes thermodynamics from my website
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Thermodynamics Chapter 10 pg 332 - 352
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1)In an engine How does the piston move?
Q heat input --More KE in gas, indicated by increase in temperature -Thus more pressure -Gas expands -Volume increases -Increase in volume = work done by system
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Work = Force x change in distance
W = F Δ d ( d distance or h height) P = F/A so W = P A Δd Volume : ΔV = A Δ d W = PΔV Work = Pressure x change in volume Area for a circle A= π r2 Volume for a cylinder (V=πr2 h)
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W = PΔV Work W = F Δ d W = P A Δ d
Assume that Pressure (P) is constant
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Think 3) If gas expands : will change in volume (ΔV) be
( + )positive or ( - ) negative … explain ΔV is (+)positive … ΔV = A Δ d = (df – di ) df > dv 4) If gas expands : will work (W ) done by system be W done by system is ( + )positive… W= PΔV because ΔV is positive
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Isolated system Open system
A system is a portion of the universe that has been chosen for studying the changes that take place within it in response to varying conditions. A system may be complex, such as a planet, or relatively simple, as the liquid within a glass Open system Isolated system
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Work done BY the system is (+)positive gas expands, thus ΔV is (+)positive
ΔV = A d
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5) Why is Work done ON the system negative ?
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Why is Work done ON the system negative
Why is Work done ON the system negative ? Work done On the system is (+) Negative gas is compressed , thus ΔV is (- ) Negative ΔV = A d
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-- no displacement and no work is done
6) What is the work done when volume remains constant (no change in volume) ? Support your answer Work is done only if the volume changes Volume is constant -- no displacement and no work is done W = PΔV ΔV = 0 Work = zero
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An engine cylinder has a cross-sectional area of 0
An engine cylinder has a cross-sectional area of m2 How much work can be done by a gas in cylinder if the gas exerts a constant pressure of 7.5 x 105 Pa on the piston and moves the piston a distance of m? Formula: W = PΔV = P A d Given : A = .010 m2 P = 7.5 x 105 Pa d = .04 m Unknown W=? Plug and chug : W = (7.5 x 105 Pa)(.010 m2)(.04 m ) W=300 J W= 3.0 x102 J
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The First Law of Thermodynamics Conservation of Energy
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ΔU = Q – W U Internal energy—the sum of the kinetic and potential energies of a system’s atoms and molecules. Can be divided into many subcategories, such as thermal and chemical energy. Depends only on the state of a system (such as its P , V, and T), not on how the energy entered the system Q Heat —energy transferred because of a temperature difference. Characterized by random molecular motion. W Work —energy transferred by a force moving through a distance. An organized, orderly process. Path dependent. W done by a system (either against an external force or to increase the volume of the system) is positive.
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Internal Energy (U) decreases when
U, Q , W Pg 339 Q positive + System gains Heat Q negative - System loses heat W positive + Work done by system expansion of gas W negative - Work done on system compression of gas Internal Energy (U) decreases when Work done by a system ( expansion of gas) Internal Energy (U) increases when Work done on a system (compression of gas)
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Pg 339
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7) A total of 135 J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increased by 114 J during the process A) What is the total amount of energy transferred as heat? B ) Has energy been added to or removed from the refrigerant as heat?
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Substituted the values in the equation Q = 114 J + (135 J) = -21 J
A total of 135 J of work is done on a gaseous refrigerant as it undergoes compression. If the internal energy of the gas increased by 114 J during the process A) What is the total amount of energy transferred as heat Given: W = J ΔU = 114 J Unknown Q = ? Formula: ΔU = Q – W Rearrange the equation Q = ΔU + W Plug and chug : Substituted the values in the equation Q = 114 J + (135 J) = -21 J Q = -21 J Q is negative indicating that energy was removed from the system
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