Precise estimation of air properties as a function of temperature at 1 atm
Here are some links that look like they might be useful, there seems to be promising information on some engineering resource sites:

https://onlinelibrary.wiley.com/doi/pdf/10.1002/9780470516430.app2
This is the appendix from what appears to be an engineering textbook, it gives a chart of the information you're looking for at 1 atm and 15 C. It also walks you through the temperature dependent equations for some of the properties.
https://www.me.psu.edu/cimbala/me433/Links/Table_A_9_CC_Properties_of_Air.pdf
This is a table of the properties of air at 1 atm from -150C to 2000C. It doesn't provide equations but you could maybe enter the data into excel and run a regression to extract a an equation.
https://irc.wisc.edu/properties/ This is a handy little calculator that outputs a whole host of properties of fluids, including dry air.

The point that has been made about water vapor fluctuations is valid, but most calculations of air properties assume dry air with constant composition.