A typical "fast" pH electrode has a time constant ofone second. (If the response of the electrode to a step change in pH is modeled as a first-order response, the time constant of thefirst-order system is 1.0s) In arterial blood the primary oscillatory component of pH is due to respiration. Assume that thiscomponent is exactly sinusoidal. If the above electrode is used tomeasure the pH of arterial blood in vivo, and if the subject isbreathing at 0.5Hz, in the steady state how much will the trueamplitude of the oscillation in pH be attenuated at the output of the pH electrode?