State the equipartition theorem and use it to calculate the molar heat capacity in an isochoric process for: (i) a monoatomic gas; (ii) a diatomic gas. • state the relation between c, and cy for an ideal gas and use it to calculate the molar heat capacity in an isobaric process for: (i) a monoatomic gas; (ii) a diatomic gas. • consider an ideal gas which contains » moles of the monoatomic molecules and v moles of the diatomic molecules. (i) derive the molar heat capacity for the gas mixture in an isochoric process. (ii) derive the molar heat capacity for the gas mixture in an isobaric process. (iii) based on these calculations, derive the adiabatic coefficient. • consider a classroom where the air is at a temperature of 20°c and pressure of 1 atm. (i) using the equation of state for an ideal gas, estimate the average distance between air molecules in the classroom. (ii) using the random walk model for molecules, estimate the mean free path of air molecules in the classroom.