Unit 5 Flashcards
(29 cards)
Heat capacity (C)
-the amount of heat required to raise the temperature of an object by 1 K, either at constant pressure (Cp) or constant volume (Cv)
- q=CΔT
-depends on the quantity of substance that is being heated
Cv
-heat capacity at a constant volume
- qp = nCpΔT
Cp
-heat capacity at a constant pressure
- qv = nCvΔT
-for any system, Cp is greater than Cv
qp
- heat transferred at a constant pressure
- qv = nCvΔT
qv
- heat transferred at a constant volume
- qv = nCvΔT
Molar heat capacities Cp and Cv
-the system heat capacities Cp and Cv divided by the number of moles of substance in the system
-molar Cp/Cv is amount of heat required to increase the temp of 1 mol of substance by 1 K at constant pressure/volume
Specific heat capacity
-the system heat capacity per gram of substance (at constant P or V)
- Q = mCΔT
Heat capacity importance
-place two objects initially at different temperatures into contact, energy in the form is exchanged between them until they reach a common temperature
- amount of heat taken up by cooler object (q2) is equal to heat given up by hotter (-q1)
Bomb calorimeter (constant volume)
-involves a small closed container (bomb) placed inside a calorimeter, which consists of a box with insulated walls and full of water
-sparker initiates combustion reaction within bomb between sample and O2, causing heat to either be taken up or given off by reaction
-ΔU = qv (heat of reaction under constant volume, w = 0 )
heat capacity of bomb calorimeter (C)
-the amount of heat required to raise the temperature of the calorimete by 1C/K
bomb calorimeter (constant pressure)
-qp = qv - w
(ΔU = q + w, qp = ΔU - w, ΔU= qv)
w (work) in combustion reaction
-w = -Pext(ΔV)
- times 101.325 if originally in L/atm
enthalpy (H)
-a state function for changes carried out at constant internal pressure
-extensive property, depends on amount of substance involved
-H = U + PV
change in enthalpy (ΔH)
-heat of reaction under constant pressure
-ΔH = ΔU + Δ(PV)
-ΔH = qp
heat required to raise temperature of n moles of substance
q = nCmΔT
Cv of ideal monatomic gas
3/2R (8.314)
Cp of ideal monatomic gas
5/2R (8.314)
heating gas under constant V
-qv = nCvΔT
-ΔU = nCvΔT
or
-ΔU = n3/2RΔT
heating gas under constant P
-qp = nCpΔT , qp = ΔH
-ΔH = nCpΔT
or
-ΔH = n5/2RΔT
Cp and Cv relation
Cp = Cv + R
Thermochemistry
the study of heat effects/transfers in chemical reactions
reaction enthalpy
-the energy change in a chemical reaction carried out under constant pressure
-chemical reactions are usually studied at constant pressure
-qp = ΔH = ΔH(rx)
-if direction of chemical reaction is reversed, the enthalpy change reverses sign
Exothermic reaction
-a reaction in which heat is given off so that ΔH is negative
-usually building bonds (synthesis)
endothermic reaction
-a reaction in which heat is taken up, so that ΔH is positive
-usually breaking bonds (decomposition)