An isolated muscle with cylindrical shape is stimulated repeatedly until the concentration of lactate in the muscle reaches c0 = 1mol/m3. at that point, stimulation ceases and the muscle is allowed to cool in lactate-free saline. muscle radius = 0.5 cm, muscle length = 30 cm, mass transfer coefficient for lactate in saline hm= 2×10−7 m/s, lactate muscle-saline partition coefficient is φlactate, muscle, saline=0.5, lactate diffusion coefficient = 2×10−8 m2/s. a) find the biot number. make sure the equation includes the partition coefficient. is lumped an appropriate assumption? b) using the lumped parameter approach anyway – how long (in seconds) until the lactate concentration is 10% of the original value? c) using series solution or heisler charts, - how long (in seconds) until the lactate concentration is 10% of the original value? d) find the initial rate of lactate loss from the muscle (in mol/s).