Calculate the partial pressure of nitrogen at 56.5 metres depth of water.
Question
Calculate the partial pressure of nitrogen at 56.5 metres depth of water.
Solution
Sure, to calculate the partial pressure of nitrogen at a certain depth, we need to know the total pressure at that depth and the fraction of nitrogen in the air.
Step 1: Calculate the total pressure at the depth The pressure increase due to water depth is approximately 1 atmosphere every 10 meters. So at 56.5 meters, the pressure increase due to water is 56.5/10 = 5.65 atmospheres. Adding the 1 atmosphere of pressure at sea level, the total pressure at 56.5 meters is 5.65 + 1 = 6.65 atmospheres.
Step 2: Calculate the partial pressure of nitrogen The air we breathe is approximately 78% nitrogen. So the partial pressure of nitrogen is 78% of the total pressure. Therefore, the partial pressure of nitrogen at 56.5 meters is 0.78 * 6.65 = 5.187 atmospheres.
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