A string is fixed at both ends. The wave speed on the string is 63.0 m/s. A particular standing wave harmonic on this string has frequency 1268 Hz and the next lowest harmonic has frequency 951 Hz. Beginning with basic symbolic equations (from the equation list), use these equations to find (a) the length of the string, and (b) which harmonic corresponds to frequency 1268 Hz. Explain all of your reasoning, as always.

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?