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