A sealed, rigid, adiabatic vessel contains an ideal gas unde…

A sealed, rigid, adiabatic vessel contains an ideal gas undergoing the exothermic first-order reaction A→B with ΔHr=−50,000 J/mol\Delta H_r = -50{,}000\ \text{J/mol}, initial concentration CA0=2.0 mol/LC_{A0} = 2.0\ \text{mol/L}, constant heat capacity Cv=25 J/(molK) and initial temperature T0=300 K. Assuming constant volume and that total moles remain unchanged, derive the differential equation relating temperature T to conversion XX and determine the final temperature when the reaction reaches 80% conversion. (Skip if unable to solve)

A radio station operates with a radio frequency of 101.5 MHz…

A radio station operates with a radio frequency of 101.5 MHz.   What is the wavelength of this radiation in meters? (hint: 1MHz = 106 Hz) Use correct number of significant figures. [ans1]   What is the energy of the radio frequency in kJ in the problem above? Use scientific notation and the correct number of significant figures. Use the letter E for your scientific notation (same way it appears on your calculator.)  [ans2]c = λν