Please answer with Some endurance athletes (such as cyclists and long-distance r

Question

Please answer with

Some endurance athletes (such as cyclists and long-distance runners) use a hypobaric chamber to enhance their ability to use oxygen. A hypobaric chamber mimics the effect of being at a high altitude, where the amount of oxygen available to the lungs is less than at sea level. A typical hypobaric chamber simulates the environment at an altitude of 11,000 ft above sea level, where the air pressure is approximately 6.7 times 104 Pa. What is the amount of oxygen available at this altitude compared with that at sea level? Express your answer as a fraction (without units).

Explanation / Answer

PV = nRT

Lets consider a constant Volume

n = PV / RT

n_altitude = P_a * V / R T_a

n_sealevel = P_s * V / R T_s

P_s = 0.20094 * (air sea level pressure) = 0.20094 * 101325 = 20360.245 ( since % of oxygen in air at sea level = 20.094%)

P_a = 0.137 * (air altitude pressure) = 0.137 * 6.7*10^4 = 9179 ( since % of oxygen in air at 11000 ft = 13.7%)

T_a = -6.66 deg Celsius = 266.33 K

T_s = 15 deg Celsius = 288 K

n_a / n_s = P_a * T_s / P_s * T_a = (9179 * 288 ) / ( 20360.245 * 266.33 ) = 0.4875

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---