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The volume of blood in the body of a deep sea diver is about 4.95 L . Blood cells make up about 45% of the blood volume and the remaining 55% is the aqueous solution called plasma. The diver dives to a depth of 93.0 m where the pressure is 10.0 atm. What is the maximum volume of nitrogen gas, in liters, that can dissolve in the diver's blood plasma where the diver's body pressure is 1.00 atm and temperature is 37 °C? (This is the volume that could come out of the solution suddenly, causing the painful and dangerous condition called the bends if the diver were to ascend too quickly.) Assume that Henry's constant for nitrogen at 37 °C is 5.80×10−4mol·L−1·atm−1.

Respuesta :

The volume of nitrogen dissolved in blood plasma is 0.4 L.

What is the maximum volume of nitrogen gas, in liters, that can dissolve in the diver's blood plasma?

The maximum volume of nitrogen that can dissolve in the diver's blood plasma is obtained as follows:

Number of moles of nitrogen dissolved at a depth of 93.0 m = Henry's constant * pressure at 93.0 m * volume of plasma

Number of moles of nitrogen =  5.80 × 10⁻⁴ * 10 * (4.95 * 55%)

Number of moles of nitrogen = 0.0158 moles

Hence,;

  • Volume, V = nRT/P

n = 0.0158 moles

R = 0.08206 L.atm/mol/K

T = 37 + 273 = 310 K

P = 1 atm

V = 0.0158 * 0.08206 * 310/1

V = 0.4 L

In conclusion, the volume of nitrogen dissolved in blood plasma is determined using the number of moles of dissolved nitrogen.

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