Calculate the partial pressure of nitrogen at 19.9 metres depth of water. Give your answer in atmospheres.
Question
Calculate the partial pressure of nitrogen at 19.9 metres depth of water. Give your answer in atmospheres.
Solution
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.
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First, calculate the total pressure at the depth of 19.9 meters. The pressure increases by 1 atmosphere for every 10 meters of water depth. So at 19.9 meters, the pressure increase due to the water is 19.9/10 = 1.99 atmospheres. Adding the 1 atmosphere of pressure at sea level, the total pressure at 19.9 meters is 2.99 atmospheres.
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The fraction of nitrogen in the air is approximately 78%.
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To find the partial pressure of nitrogen, multiply the total pressure by the fraction of nitrogen. So the partial pressure of nitrogen at 19.9 meters is 2.99 atmospheres * 0.78 = 2.33 atmospheres.
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