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

Click For Summary

Discussion Overview

The discussion revolves around calculating the mass of sodium chloride (NaCl) required to increase the sodium ion concentration in a person's blood from 0.114 M to 0.139 M, given a total blood volume of 5.1 L. The focus is on the mathematical approach and calculations involved in this problem.

Discussion Character

  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant calculates the mass of sodium needed to reach the desired concentration and arrives at a total of 6.6 g of NaCl required.
  • Another participant agrees with the calculation but suggests a different method for determining the mass of NaCl needed, emphasizing the total mass of NaCl in relation to the mass of sodium.
  • A participant expresses appreciation for the alternative calculation method and shares links to previous unanswered questions on a different platform.
  • One participant acknowledges a significant error in the atomic weight of sodium, initially stating it as 230 g instead of the correct 23 g.
  • Another participant reiterates the same error regarding the atomic weight of sodium, indicating it was a notable mistake.

Areas of Agreement / Disagreement

While there is agreement on the final mass of NaCl calculated (6.6 g), there is a notable disagreement regarding the atomic weight of sodium, with participants correcting the initial incorrect value. The discussion reflects varying approaches to the calculations without a consensus on the initial atomic weight used.

Contextual Notes

The calculations depend on the correct atomic weight of sodium, which was initially misstated. This error could impact the validity of the calculations presented.

Modrisco
Messages
8
Reaction score
0
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)

--------------------------------------…

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?
 
Physics news on Phys.org
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.
 
Thank you very much:) I prefer your way haha

If you're a yahoo question answerer, you can copy and paste that answer to the same question that I asked 3 times (no one wanted to answer) and I will give you best answer for each one:)
thank you

Here is the links to the same question:

http://uk.answers.yahoo.com/questio...U3.P7tYgBgx.;_ylv=3?qid=20120430180751AAuGj9N

http://uk.answers.yahoo.com/questio...DhT6K4kgBgx.;_ylv=3?qid=20120430133241AAhfri9

http://uk.answers.yahoo.com/question/index;_ylt=AiO70AMxfXqdmWoboJrzBPkgBgx.;_ylv=3?qid=20120430131115AA32Mjs


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.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
Replies
2
Views
5K
Replies
7
Views
3K
Replies
2
Views
18K
Replies
23
Views
5K
Replies
5
Views
7K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 4 ·
Replies
4
Views
11K
  • · Replies 12 ·
Replies
12
Views
7K