Kinetic theory of gas and molar heat capacities
translation kinetic energy formulas
Ek = 3/2 kT
What is the root mean square speed?
The square root of the mean square speed
Formula for work done by gas using graph
W = -3/2 (Pv * Vv - Pu * Vu)
What does ΔU stand for
change in internal energy
What is the first law of thermodynamics?
change in internal energy is equal to the energy supplied to the system plus the work done
What is molar heat capacity of a gas at constant pressure?
energy required to raise the temperature of one mol of gassy 1 degree at constant pressure
What does ΔQ stand for
energy supplied
formula for number of molecules
moles x molar mass
change in W =
p x change in volume
root mean square speed formula 2
pV = 1/2 Nm <c²>
ΔU is equal to ΔQ when
there is constant volume
formula for molar heat capacity at constant pressure
Eh = nCp ΔT
formula for molar heat capacity at constant volume
Eh = nCv ΔT
formula for Rate of heat lord (Stephan's Law)
P = σAeT^4
What is the kinetic theory of gases?
a gas is made up of many small particles moving randomly at high speed
Formula for mean square speed
c² = c1² + c2² + c3² + ...cN² / N
What is molar heat capacity at constant volume?
energy required to raise the temperature of one mol of gassy 1 degree at constant volume
formula for moles
moles = mass / molar mass
ΔQ = ΔW
there is is adiabatic expansion
what does ΔW stand for
work done by the system
Change in internal energy formula (ΔU)
ΔU = 3/2 nRΔT
formula that represents the first law of thermodynamics
ΔU = ΔQ + ΔW
Formula for root mean square speed
√c² = √c1² + c2² + c3² + ...cN² / N