\(C\%=\dfrac{m_{ct}.100\%}{m_{dd}}\\\rightarrow m_{ct}=\dfrac{m_{dd}.C\%}{100\%}=\dfrac{500.5\%}{100\%}=25(g)\)

Vậy cần \(25g\,\,CuSO_4\) và \(475g\,\,H_2O\) tinh thể để pha chế.

\(m_{dd_{CuSO_4}}=a\left(g\right)\)

\(\Rightarrow m_{CuSO_4}=0.08a\left(g\right)\)

\(m_{CuSO_4\cdot5H_2O}=b\left(g\right)\)

\(\Rightarrow m_{CuSO_4}=\dfrac{b}{250}\cdot160=0.64b\left(g\right)\)

\(m_{dd_{CuSO_4\left(15\%\right)}}=a+b=560\left(g\right)\left(1\right)\)

\(m_{CuSO_4\left(15\%\right)}=0.08a+0.64b=560\cdot16\%=89.6\left(g\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=480,b=80\)

Gọi $m_{dd\ CuSO_4\ 8\%} = a(gam) ; n_{CuSO_4.5H_2O} = b(mol)$

Sau khi pha : 

$m_{CuSO_4} = a.8\% + 160a = 560.16\% = 89,6(gam)$

$m_{dung\ dịch} = a + 250b = 560(gam)$

Suy ra a = 480(gam) ; b = 0,32(mol)$
$m_{CuSO_4.5H_2O} = 0,32.250 = 80(gam)$

Giả sử $CuSO_4.5H_2O$ là dung dịch CuSO4 nồng độ 64%

Áp dụng sơ đồ đường chéo ta có:

\(\dfrac{x}{y}=\dfrac{10-5}{64-10}=\dfrac{5}{54}\)

$\Rightarrow x=m_{CuSO_4.5H_2O}=33,9(g);y=m_{CuSO_4/5\%}=366,1(g)$

gọi m dd CuSO₄.5H₂O là x (g)

m dd CuSO₄ 5% là y(g)

=> x+y=400(I)

m_{ct (dd CuSO4 41%)}= 41/100.400=164(g)

m_{ct(dd CuSO4.5H2O)}=160/250.x=0,64x(g)

m_{ct (dd CUSO4 5%)}=5/100.y=0,05y(g)

=> 0,64x+0,05y=164(II)

từ (I) và (II)

x+y=400

0,64x+0,05y=164

=>x=244,06(g)

y=155,94(g)

gọi m dd CuSO₄.5H₂O là x (g)

m dd CuSO₄ 5% là y(g)

=> x+y=400(I)

m_{ct (dd CuSO4 41%)}= 41/100.400=164(g)

m_{ct(dd CuSO4.5H2O)}=160/250.x=0,64x(g)

m_{ct (dd CUSO4 5%)}=5/100.y=0,05y(g)

=> 0,64x+0,05y=164(II)

từ (I) và (II)

x+y=400

0,64x+0,05y=164

=>x=244,06(g)

y=155,94(g)

155,94g hay 145,94g mình không nhớ mấy đâu

\(m_{CuSO_4\cdot5H_2O}=a\left(g\right)\)

\(m_{dd_{CuSO_4\left(16\%\right)}}=b\left(g\right)\)

\(\Rightarrow m_{dd_{CuSO_4\left(48\%\right)}}=a+b=300\left(g\right)\left(1\right)\)

\(m_{CuSO_4}=\dfrac{a}{250}\cdot160=0.64a\left(g\right)\)

\(m_{CuSO_4\left(16\%\right)}=0.16b\left(g\right)\)

\(m_{CuSO_4\left(48\%\right)}=300\cdot48\%=144\left(g\right)\)

\(\Rightarrow0.64a+0.16b=144\left(2\right)\)

\(\left(1\right),\left(2\right):a=200,b=100\)