Chemistry 360 Dr. Jean M. Standard Problem Set 6 Solutions 1. Three moles of an ideal gas expand isothermally and reversibly from 90 to 300 L at 300 K. (a) Calculate â¬ Î´ U m, â¬ mÎ S m, w per mole, and q per mole. For an ideal gas, â¬ Î´ U = C v T, or in terms of molar quantities, â¬Î´ U m = C v, m Î´ T.inally, since â¬ dS = dq rev T, for an isothermal process, the molar entropy change is â¬ Î´ S m = q m T = 3003J/mol300KÎ S m = 10.01Jmol â1 K â1. (b) If the expansion is carried out irreversibly by allowing the gas to expand rapidly into a vacuum, determine â¬ Î´ U m, â¬ S m, w per mole, and q per mole.
Almost every modern piano has 52 white keys and 36 black keys for a total of 88 keys (seven octaves plus a minor third, from A0 to C8). Many older pianos only have 85 keys (seven octaves from A0 to A7). Some piano manufacturers have extended the range further in one or both directions.
Using the image below, identify and learn the black keys on the keyboard. Note that each black key has two possible names. For example, there is C sharp (Câ¯) and D flat (Dâ­). What you call this note depends on what key you are in or what chord you are playing. Here are the names of the notes on the black keys: