QUESTION IMAGE
Question
data table
- mass of evaporating dish 56.17 g
- mass of hydrate 2.49 g
- mass of evaporating dish and hydrate (before heating) 58.65 g
- mass of evaporating dish and anhydrous compound (after heating) 57.71 g
- mass of water in hydrate 0.94 g
- % water in hydrate 10 %
data analysis
- calculate the % water in cuso₄·5h₂o from the formula.
- did you determine the correct % water with your experimentation?
- calculate the % water (from the formula) in the following hydrates.
mgso₄·7h₂o
ca(no₃)₂·4h₂o
- if a student heats 5.00 g of cuso₄·5h₂o until all the water of crystallization is removed, how many grams of anhydrous compound should remain?
Step1: Calculate molar masses
Molar mass of $CuSO_4\cdot5H_2O$:
$Cu: 63.55\ g/mol$, $S: 32.07\ g/mol$, $O: 16.00\ g/mol$, $H: 1.01\ g/mol$.
$M_{CuSO_4\cdot5H_2O}=63.55 + 32.07+4\times16.00 + 5\times(2\times1.01 + 16.00)=249.69\ g/mol$.
Molar mass of water in $CuSO_4\cdot5H_2O$: $5\times(2\times1.01 + 16.00)=90.10\ g/mol$.
Step2: Calculate % water in $CuSO_4\cdot5H_2O$
$\text{Percent water}=\frac{90.10}{249.69}\times100\%\approx36.1\%$.
Step3: Analyze experimental result
The experimental value of % water is not correct as it is given as $6\%$ which is far from the calculated $36.1\%$.
Step4: Calculate % water in $MgSO_4\cdot7H_2O$
Molar mass of $MgSO_4\cdot7H_2O$: $Mg: 24.31\ g/mol$, $S: 32.07\ g/mol$, $O: 16.00\ g/mol$, $H: 1.01\ g/mol$.
$M_{MgSO_4\cdot7H_2O}=24.31+32.07 + 4\times16.00+7\times(2\times1.01 + 16.00)=246.47\ g/mol$.
Molar mass of water in $MgSO_4\cdot7H_2O$: $7\times(2\times1.01 + 16.00)=126.14\ g/mol$.
$\text{Percent water}=\frac{126.14}{246.47}\times100\%\approx51.2\%$.
Step5: Calculate % water in $Ca(NO_3)_2\cdot4H_2O$
Molar mass of $Ca(NO_3)_2\cdot4H_2O$: $Ca: 40.08\ g/mol$, $N: 14.01\ g/mol$, $O: 16.00\ g/mol$, $H: 1.01\ g/mol$.
$M_{Ca(NO_3)_2\cdot4H_2O}=40.08+2\times14.01+6\times16.00 + 4\times(2\times1.01 + 16.00)=236.15\ g/mol$.
Molar mass of water in $Ca(NO_3)_2\cdot4H_2O$: $4\times(2\times1.01 + 16.00)=72.08\ g/mol$.
$\text{Percent water}=\frac{72.08}{236.15}\times100\%\approx30.5\%$.
Step6: Calculate mass of anhydrous $CuSO_4$
Since % water in $CuSO_4\cdot5H_2O$ is $36.1\%$, % anhydrous $CuSO_4$ is $100 - 36.1=63.9\%$.
Mass of anhydrous $CuSO_4$ in $5.00\ g$ of $CuSO_4\cdot5H_2O$ is $5.00\times0.639 = 3.195\ g$.
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- $36.1\%$
- No
- $MgSO_4\cdot7H_2O$: $51.2\%$, $Ca(NO_3)_2\cdot4H_2O$: $30.5\%$
- $3.195\ g$