Gọi số \(\left(g\right)\) tinh thể \(CuSO_4\cdot5H_2O\) cần pha chế là \(x\left(g\right)\left(0< x< 750\right)\)
Số \(\left(g\right)\) dung dịch \(CuSO_4\text{ }4\%\) cần pha chế là \(y\left(g\right)\left(0< y< 750\right)\)
\(n_{CuSO_4\cdot5H_2O}=\dfrac{m}{M}=\dfrac{x}{250}=0,004x\left(mol\right)\\ \Rightarrow m_{CuSO_4\text{ trong }CuSO_4.5H_2O}=n\cdot M=0,004x\cdot160=0,64x\left(g\right)\)
\(m_{CuSO_4\text{ trong }d^28\%}=\dfrac{m_{d^2}\cdot C\%}{100}=\dfrac{y\cdot4}{100}=0,04y\left(g\right)\)
\(m_{CuSO_4\text{ trong }750\left(g\right)d^28\%}=\dfrac{m_{d^2}\cdot C\%}{100}=\dfrac{750\cdot8}{100}=60\left(g\right)\)
Ta có hệ pt: \(\left\{{}\begin{matrix}x+y=750\\0,64x+0,04y=60\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=50\\y=700\end{matrix}\right.\)
\(\Rightarrow m_{CuSO_4.5H_2O}=50\left(g\right)\\ m_{d^2CuSO_44\%}=700\left(g\right)\)
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