In: Biology
1. Given:
Tidal Volume = 400 ml
Inspiratory Reserve Volume = 2500 ml
Expiratory Reserve Volume = 800 ml
Breathing rate = 14 breaths/min
Ventilatory dead space = 120 ml
Ventilation/perfusion ratio = 0.8
Stroke volume = 70 ml/beat
Calculate:
Vital capacity = __________ml ( 1 pt)
Alveolar ventilation rate = ____________ml/min (2 pts)
Heart rate = ______ beats/min (2 pts)
1. Vital capacity is equal to:
Vital capacity= total inspiratory volume + total expiratory volume+ tidal volume.
Putting values in the above formula
2500+800+400 ml
Vital capacity = 3700 ml
2. Alveolar ventilation rate is given by:
Alveolar ventilation rate = Alveolar ventilation ( tidal volume - dead space volume) * Respiratory rate
Putting the given values in above equation we get,
Alveolar ventilation rate = (400-120) * 14 ml/min
= 3920 ml/min
3. Heart rate is given by:
heart rate = cardiac output/ stroke volume ---- (1)
We are given the stroke volume but we need to find cardiac output.
Given,
Alveolar Ventiation/ perfusion ratio= 0.8 ----- (2)
Alveolar ventilation rate = 3920 ml/min
Putting the value of alveolar ventilation rate in (2) we get
3920/ Perfusion = 0.8
Perfusion = 3920/ 0.8
Perfusion = 4900 ml/min
Caridac Output is same as perfusion for two lungs
So cardiac output = 4900 ml/min
Putting values of cardiac output and stroke volume in (1) we get,
Heart rate = 4900/ 70 beats/min
= 70 beats/min