Thrmodynamics and KTG

What is Degree of freedom for matter

They’re the number of independent ways in which a molecule can move (translation motion), spin (Rotational motion), and Vibrate and produce energy

What is the formulae to calculate vibrational degree of freedom

Vibrational DOF = 3N−Translational DOF − Rotational DOF​

where,
N → Number of atoms in the molecule

What is entropy

It is the measure of disorderness in the system

What is enthalpy

It is the measure of total heat content of the system

What is Bolt’s constant

It is the measure of energy per molecule

What is the formula for Bolt’s constant

Kb = R/N_A
where,
N_{A →} Avagadro’s number
R → Universal gas constant

What is the formula for molar heat capacity at constant volume

C_v =FR/2
where,
F → Degree of freedom
R → Universal gas constant

What is the relation between molar heat capacity at constant pressure and molar heat capacity at constant volume

1. C_p - C_v = R
   where,
   C_p → molar heat capacity at constant pressure
   C_v → molar heat capacity at constant volume
   R → universal gas constant

2. C_p /C_v = γ

What is the formula for the ratio that we get between C_p and C_v? What is it called?

γ = 1 + 2/f
where,
f → Degree of freedom

γ → Coefficient of adiabatic process

What is R?

It is the universal gas constant per mole of gas

What is C_m

It is the molar heat capacity

What is the formula for the speed of gas?

√γ*R*T/m
Where,
γ → Coefficient of adiabatic process
R → Universal gas constant
T → Temperature
m → mass

What is the ideal gas equation

PV = nRT
where,
P → pressure
V → Volume
n → Number of moles

R → Universal gas constant

T → Temperature

What are the formulae for work done in an isothermal process? Why is it so?

∆W = nRT*ln(V₂/V₁) → ∆W = 2.303*nRT*log₁₀(V₂/V₁)

And using Boyle’s Law, P ∝ 1/V

∆W = nRT*ln(P₁/P₂) → ∆W = 2.303*nRT*log₁₀(P₁/P₂)

The reason we are doing this is that pressure isn’t constant and is rather variable

What is the formula for the fraction of heat used to increase internal energy in isobaric process

∆U/∆Q = 1/γ

What is the formula for the fraction of heat used to increase work done in isobaric process

∆W/∆Q = 1- 1/γ

What is the ideal gas equation for adiabatic processes

PV^γ = nRT