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.
In this lesson, you will look at the patterns of the black and white keys on the piano keyboard. This will help you to find your way around the piano keyboard. The black keys on the piano are divided into groups of three black keys and two black keys. Find all the groups of two black keys and play them. Find all the groups of three black keys and play them. Find all the groups of three white keys that surround the groups of two black keys and play them.