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cluponka [151]
3 years ago
13

A balloon is filled to a volume of 5.10l at a temperature of 27.1ºc. if the pressure in the balloon is measured to be 2.20 atm,

how many moles of gas are contained inside the balloon?
Chemistry
1 answer:
Leno4ka [110]3 years ago
5 0
We can find the number of moles in the balloon using the ideal gas law equation 
PV = nrT 
where 
P - pressure - 2.20 atm 
V - volume - 5.10 L
n - number of moles 
r - universal gas constant - 0.08206 LatmK⁻¹mol⁻¹
T - temperature in Kelvin - 27.1 °C + 273 = 300.1 K
substituting the values in the equation 
2.20 atm x 5.10 L = n x 0.08206 LatmK⁻¹mol⁻¹ x 300.1 K
n = 0.456 mol
number of moles of gas is 0.456 mol

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First, find the volume the solution needs to be diluted to in order to have the desired molarity:
You have to use the equation M₁V₁=M₂V₂ when ever dealing with dilutions.

M₁=the starting concentration of the solution (in this case 2.6M)
V₁=the starting volume of the solution (in this case 0.035L)
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V₂=the volume of solution needed for the dilution (not given)

Explaining the reasoning behind the above equation:
MV=moles of solute (in this case KCl) because molarity is the moles of solute per Liter of solution so by multiplying the molarity by the volume you are left with the moles of solute.  The moles of solute is a constant since by adding solvent (in this case water) the amount of solute does not change.  That means that M₁V₁=moles of solute=M₂V₂ and that relationship will always be true in any dilution.

Solving for the above equation:
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That means that the solution needs to be diluted to 75.8mL to have a final concentration of 1.2M.

 Second, Finding the amount of water needed to be added:
Since we know that the volume of the solution was originally 35mL and needed to be diluted to 75.8mL to reach the desired molarity, to find the amount of solvent needed to be added all you do is V₂-V₁ since the difference in the starting volume and final volume is equal to the volume of solvent added.
75.8mL-35mL=40.8mL
40.8mL of water needs to be added

I hope this helps.  Let me know if anything is unclear.
Good luck on your quiz!
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