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1. Some fish live in a pond deep inside a cave, at sea level. The front portion

ID: 580869 • Letter: 1

Question

1. Some fish live in a pond deep inside a cave, at sea level. The front portion of the cave is home to thousands of bats. Respiration by the bats has altered the fractional composition of the atmosphere in the cave as follows 19% On 2% CO2 and 79% N2 plus other gases. The temperature inside the cave is 30°C. The air in the cave is at 98% relative humidity (i.e., the water vapor pressure of the air is 98% should be at a temperature of 30°C). f what it Note: Water vapor pressure at 10°C = 9.2 mm Hg 20°C = 17.5 30°C = 31.7 37°C = 47.2 = 2.4 mol/ml x mm Hg 10°C (a) 20°C 30°C 37°C Solubility of O2 in water at = 1.9 = 1.7 = 1.4 A) What is the partial pressure of CO2 in the cave? B) What is the concentration of O2 (in moles/L) in the cave pond?

Explanation / Answer

A) Since humidity is 2% lesser than what it should have been hence one can conclude that the total atmospheric pressure inside the cave is less by 2% i.e. it is only 744.8 mmHg rather than 760 mm Hg. Therefore partial pressure of CO2 will be =744.8 ×(2÷100)=14.896 mm Hg.

B) at the given temperature the solubility of oxygen in water = 0.0017 moles / Litre × mm Hg . Therefore the concentration of oxygen in the pond = (0.0017 × partial pressure of oxygen) moles/Litre=(0.0017×744.8×(19÷100)) =0.2406 moles/ Litre.