Final answer:
Using the combined gas law, the final volume of oxygen at normal body conditions can be calculated to be approximately 36.6 L when a 200L of oxygen gas was compressed at a temperature of 37 degree Celsius to 20 L.
Step-by-step explanation:
To solve this problem, we can use the combined gas law, which states that:
P₁V₁/T₁ = P₂V₂/T₂
In this case, we know:
P₁ = 1 atm (pressure at normal body conditions)
V₁ = 35.4 L (initial volume)
T₁ = 25 °C
= 298 K (initial temperature)
P₂ = 151 atm (pressure in the cylinder)
V₂ = ? (final volume)
T₂ = 37 °C
= 310 K (final temperature)
Using the formula, we can solve for V₂:
1 atm * 35.4 L / 298 K = 151 atm * V₂ / 310 K
35.4 / 298 = 151 / 310 * V₂
V₂ = (35.4 * 151 * 310) / (298 * 310)
V₂ ≈ 36.6 L
Therefore, the volume of O₂ at normal body conditions (1 atm and 37 °C) is approximately 36.6 L.