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Multiple Choice
Hypernatremia is a medical condition where a patient has high levels of sodium in their blood, and is the result of the body containing too little water. A patient has a measured sodium level of 165 mM. If 30.0 mL of their blood were drawn, what mass (in ng) of sodium would be present?
A
1.14x107 ng
B
1.14x106 ng
C
1.14x108 ng
D
4.18x108 ng
E
4.18x106 ng
Verified step by step guidance
1
Start by understanding the concentration given: 165 mM, which means 165 millimoles of sodium per liter of blood.
Convert the volume of blood drawn from milliliters to liters. Since 1 mL = 0.001 L, 30.0 mL is equivalent to 0.030 L.
Calculate the number of millimoles of sodium in the 30.0 mL of blood using the formula: \( \text{millimoles of sodium} = \text{concentration} \times \text{volume} \). Substitute the values: \( 165 \text{ mM} \times 0.030 \text{ L} \).
Convert millimoles of sodium to moles by using the conversion factor: 1 millimole = 0.001 mole.
Finally, convert moles of sodium to mass in nanograms. Use the molar mass of sodium (approximately 23 g/mol) and the conversion factors: 1 g = 10^9 ng. Calculate the mass using the formula: \( \text{mass} = \text{moles} \times \text{molar mass} \times 10^9 \).