Calculate the mass of NaCl needed to bring sodium concentration to 0.139 M?

AI Thread Summary
To increase the sodium ion concentration in a person with hypothermia from 0.114 M to 0.139 M in a blood volume of 5.1 L, a total of 6.6 g of sodium chloride (NaCl) is required. The calculations initially used an incorrect atomic weight of sodium, which was later corrected from 230 g to 23 g. The mass of sodium needed was determined to be 5.72 g, leading to the final NaCl mass calculation. The discussion included a verification of the calculations, confirming that the final amount of NaCl needed is indeed 6.6 g. Accurate calculations are crucial for medical applications involving electrolyte balance.
Modrisco
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A person suffering from Hypothermia has a sodium ion concentration in the blood of 0.114 M and a total blood volume of 5.1 L. What mass of sodium chloride needs to be added to the blood to bring sodium ion concentration up to 0.139 M? (assuming no change in blood volume)

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Atomic weight of Na: 230 g

Mass of sodium in blood:
230 x 0.114 M = 26.22 g

Mass of sodium needed:
230 x 0.139 = 32.97
32.97 - 26.22 = 5.72 g

5.72 g of sodium needed

Ratio of mass in NaCl
Mass of Cl : Mass of Nacl
35.453 g : 230 g
1 : 6.49

Mass of Cl in NaCl when Na is 5.72 g:

230/35.453 = 5.72/x
230x = 5.72(35.453)
230x = 202.79
x = 202.79/230
x = 0.88g


Mass of NaCl needed:
0.88g + 5.72g
= 6.6 g



Mass of NaCl needed 6.6g


Is this correct?
 
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Looks good. Although, I would have done the last calculation slightly differently:
Mass of Cl : Mass of Nacl
35.453 g : 230 g

so the total mass of (one mol of) NaCl is 35.453+ 230= 265.453 g. That is a ratio of NaCl to Na of 265.453/230= 1.154 so the the total mass of NaCl to produce 5.72 g of sodium is (1.154)(5.72)= 6.6 g of NaCl. exactly what you got.
 
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A lannister, always pays his debts.
 
Last edited by a moderator:
Just realized I made a massive error in the atomic weight of Na, it's 23g not 230g hahaha
 
Modrisco said:
Just realized I made a massive error in the atomic weight of Na, it's 23g not 230g hahaha

That was the first thing that caught my eye.
 
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