The period of a pendulum, , on earth depends on the square root length of the pendulum, , according to the formula , where is constant. If is measured in seconds and is measured in meters, then is approximately 2.01. At what value of does the average rate of change of with respect to from to equal 0.335

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.