MOaD 5 Flashcards
cp at a constant, heat capacity relationship (24 cards)
What conditions do chemists work in?
At constant (atmospheric) pressure and constant (room) temperature.
is the internal energy useful for chemists?
the internal energyU(T,V) is inconvenient.
what is the 1st LoTD formula
U = q + w
calculating q from U,V,P
qp= (Uf+pVf) - (Ui+pVi)
ΔH Formula
ormula= ΔU+pΔV
relationship between heat and enthalpy
qp= Hf- Hi = ΔH
what is the meaning of enthalphy?
state function that represents the heat change at constant pressure,qp.
isobaric
constant pressure
how to Measure Enthalpy
bomb calorimeter and converting U to H
How to convert u to h if there is no pv work?
H=U
How to convert u to h if there is pv work?
ΔH = ΔU + Δngas RT
Why is ΔH = ΔU + Δngas RT equation unneeded for liquids and solids?
Solids or liquids take little volume compared to gases, so there are no pressure changes in the calorimeter.
ignore these in calculations of work done.
(a) A bomb calorimeter increased in temperature from 20°C to 23°C when a voltage of 20 V drove a current of 18.57 A through a heater for 10 s. Calculate the heat capacity of the calorimeter.
The energy used, E = IVt = 3714 J; Hence, Ccal = E / ΔT = 3714 / 3 = 1238 J K-1
This calorimeter then measured the heat of combustion from 0.7022 g of oxalic acid (C2H2O4) giving a temperature increase of 1.602°C. Calculate the molar internal energy of oxalic acid.
qV = U = CcalΔT = -1238 × 1.602 = -1984 J (Note: it’s –ve because heat is given out)
No. moles of oxalic acid, n = 0.7022 / 90 = 0.00780 mol So, ΔUm = -1984 / 0.00780 = -254.4 kJ mol-1
formula for U / qv
qV = U = CcalΔT
Ccal formula
= E / ΔT
cp heat capacity definition maths term
𝐶_𝑝=(𝜕𝐻/𝜕𝑇)_𝑝 at small t change and cp is constant
definition of a heat capacity
‘the energy needed to raise the temperature of an object by 1 K’,
cp heat capacity with large changes
ΔH=CpΔT and cp is constant
what is the difference between cp and cv
the work done in pushing back the atmosphere, and
the work needed to stretch bonds in the material, including the weak (Van der Waals) interactions. The latter is zero for a perfect gas.
is cp greater than cv?
Work has to be done withCp, the temperature rise will be less for a given heat transfer.
Cpis greater thanCV.
relationship between cp and cv
cv + R = cp
γ
=Cp/CV