14.0 moles of an ideal gas are compressed slowly and isothermally from STP (273 K/100) until it occupies one quarter of its initial volume. the gas is then allowed to expand quickly and adiabatically back to it's initial volume. find the highest and lowest temperatures and pressures obtained by the gas and indicate them on a PV diagram. (please explain the process/show work)

If it takes a planet 2.8 x 10^8 s to orbit a star with a mass of 6.2 x 10^30 kg what is the average distance between the planet and the star

Beryl states that insulation with the smallest possible thermal conductivity is best to keep a house warm in winter, but worst for keeping a house cool in summer. sapphire insists the reverse is true: low thermal conductivity is good in the summer, but bad in the winter. which one, if either is correct? a. beryl, because low thermal conductivity results in low heat transfer. b. beryl, because low thermal conductivity results in high heat transfer. d. sapphire, because low thermal conductivity results in high heat transfer. e. neither, because low heat transfer is desirable both in summer and in winter.

Use 4 to 5 complete sentences, explain the concepts of beats and how beats are produces.