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ICE Princess25 [194]
3 years ago
15

A chemist wishes to prepare a stock solution of 1.25 M KI. She will be diluting a 3.25 M KI solution in order to obtain 0.355 L

of the stock solution. What volume of the 3.25 M solution should she use?
Chemistry
1 answer:
strojnjashka [21]3 years ago
6 0
0.137 L of the stock solution

M1V1 = M2V2
M1 = 3.25 M
V1 = This is what we’re solving for.
M2 = 1.25 M
V2 = 0.355 L

Solve for V1 —> V1 = M2V2/M1

V1 = (1.25 M)(0.355 L) / (3.25 M) = 0.137 L
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Answer:

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  • The balanced equation for the mentioned reaction is:

<em>3O₂ + 4Al → 2Al₂O₃,</em>

It is clear that 3.0 moles of O₂ react with 4.0 moles of Al to produce 2.0 Al₂O₃.

  • Firstly, we need to calculate the no. of moles (n) of 36.12 g of Al₂O₃:

<em>n = mass/molar mass</em> = (44.18 g)/(101.96 g/mol) = <em>0.4333 mol.</em>

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3.0 mol of O₂ produces → 2.0 mol of Al₂O₃.

??? mol of O₂ produces → 0.4333 mol of Al₂O₃.

<em>∴ The no. of moles of O₂ needed to produce 36.12 grams of Al₂O₃</em> = (3.0 mol)(0.4333 mol)/(2.0 mol) = <em>0.65 mol.</em>

  • Now, we can find the volume of O₂ used during the experiment:

We can use the general law of ideal gas: <em>PV = nRT.</em>

where, P is the pressure of the gas in atm (P = 1.3 atm).

V is the volume of the gas in L (V = ??? L).

n is the no. of moles of the gas in mol (n = 0.65 mol).

R is the general gas constant (R = 0.0821 L.atm/mol.K),

T is the temperature of the gas in K (T = 290 K).

<em>∴ V = nRT/P </em>= (0.65 mol)(0.0821 L.atm/mol.K)(290 K)/(1.3 atm) = <em>11.9 L.</em>

<em>So, the right choice is: b. 11.90 Liters.</em>

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