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gtnhenbr [62]
4 years ago
14

Initially a beaker contains 225.0 ml of a 0.350 M MgSO4 solution. Then 175.0 ml of water are added to the beaker. Find the conce

ntration of the final solution. What is the volume?
Chemistry
2 answers:
Salsk061 [2.6K]4 years ago
8 0
Final volume is 400 mL

<span>The moles in MgSO4 is 0.00788 </span><span>mL
</span>
The new concentration is 0.197
Lostsunrise [7]4 years ago
8 0

Answer : The concentration of final solution is, 0.197 M and the final volume of solution is, 400 ml

Solution :

First we have to calculate the final volume of solution.

Final volume of solution = Volume of MgSO_4 + Volume of water added

Final volume of solution = 225.0 ml + 175.0 ml = 400 ml

Now we have to calculate the concentration of final solution.

Formula used :

C_1V_1=C_2V_2

where,

M_1 = concentration of MgSO_4 solution = 0.350 M

V_1 = volume of MgSO_4 solution = 225.0 ml

M_2 = concentration of final solution = ?

V_2 = volume of final solution = 400 ml

Now put all the given values in the above formula, we get the concentration of final solution.

(0.350M)\times (225.0ml)=C_2\times (400ml)

C_2=0.197M

Therefore, the concentration of final solution is, 0.197 M

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Answer:

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Convert the unit of all three measures to standard units:

\begin{aligned} T &= 25\; \rm ^{\circ}C \\ &= (25 + 273.15)\; \rm K \\ &= 293.15\; \rm K\end{aligned}.

\begin{aligned}P &= 101.325\; \rm kPa \\ &= 101.325 \; \rm kPa \times \frac{10^{3}\; \rm Pa}{1\; \rm kPa} \\ &= 1.01325 \times 10^{5}\; \rm Pa\end{aligned}.

\begin{aligned}V &= 2\; \rm dm^{3} \\ &= 2 \; \rm dm^{3} \times \frac{1\; \rm m^{3}}{10^{3}\; \rm dm^{3}} \\ &= 2 \times 10^{-3}\; \rm m^{3}\end{aligned}.

Look up the ideal gas constant in the corresponding units: R \approx 8.31\; \rm m^{3}\cdot Pa \cdot mol^{-1} \cdot K^{-1}.

Let n denote the number of moles of this gas in that V = 2\; \rm dm^{3}. By the ideal gas law, if this gas is an ideal gas, then the following equation would hold:

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\begin{aligned}n &= \frac{P \cdot V}{R \cdot T} \\ &\approx \frac{1.01325 \times 10^{5}\; {\rm Pa} \times 2 \times 10^{-3}\; {\rm m^{3}}}{8.31 \; {\rm m^{3} \cdot Pa \cdot mol^{-1} \cdot K^{-1}} \times 293.15\; {\rm K}} \\ &\approx 0.08\; \rm mol\end{aligned}.

In other words, there is approximately 2\; \rm mol of this gas in that V = 2\; \rm dm^{3}.

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