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he he he he he he

bài 1:

bn lấy giá trị của √(4^2-3,9^2) là dc

bài 2

AB+BC=2√(3^2+4^2)=??

a)

Gọi số mol Fe, Fe₂O₃ là a, b (mol)

=> 56a + 160b = 48,8 (1)

PTHH: 2Fe + 6H₂SO₄ --> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

               a-------------------->0,5a------>1,5a

            Fe₂O₃ + 3H₂SO₄ --> Fe₂(SO₄)₃ + 3H₂O

               b----------------------->b

=> \(0,5a+b=\dfrac{140}{400}=0,35\) (2)

(1)(2) => a = 0,3 (mol); b = 0,2 (mol)

=> \(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3.56}{48,8}.100\%=34,426\%\\\%m_{Fe_2O_3}=\dfrac{0,2.160}{48,8}.100\%=65,574\%\end{matrix}\right.\)

b) n_SO2 = 1,5a = 0,45 (mol)

n_NaOH  = 1.0,45 (mol)

Xét tỉ lệ: \(\dfrac{n_{NaOH}}{n_{SO_2}}=\dfrac{0,45}{0,45}=1\) => Tạo muối NaHSO₃

PTHH: NaOH + SO₂ --> NaHSO₃

             0,45-------------->0,45

=> \(C_{M\left(dd.NaHSO_3\right)}=\dfrac{0,45}{0,45}=1M\)

\(a,=2\sqrt{2}\left(\sqrt{5}-1\right)\sqrt{4+\sqrt{\left(\sqrt{5}-1\right)^2}}\\ =2\sqrt{2}\left(\sqrt{5}-1\right)\sqrt{4+\sqrt{5}-1}\\ =2\left(\sqrt{5}-1\right)\sqrt{6-2\sqrt{5}}\\ =2\left(\sqrt{5}-1\right)\sqrt{\left(\sqrt{5}-1\right)^2}\\ =2\left(\sqrt{5}-1\right)^2=2\left(6-2\sqrt{5}\right)=12-4\sqrt{5}\\ b,=\left(4+\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)\sqrt{8-2\sqrt{15}}\\ =\left(4+\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)\sqrt{\left(\sqrt{5}-\sqrt{3}\right)^2}\\ =\left(4+\sqrt{15}\right)\left(\sqrt{5}-\sqrt{3}\right)^2\\ =\left(4+\sqrt{15}\right)\left(8-2\sqrt{15}\right)\\ =32-8\sqrt{15}+8\sqrt{15}-30=2\)

Bài 1:

a) \(R_{tđ}=R_1+R_2=7,5+15=22,5\left(\Omega\right)\)

b) \(I=I_1=I_2=0,3A\)

\(\left\{{}\begin{matrix}U=I.R_{tđ}=0,3.22,5=6,75\left(V\right)\\U_1=I_1.R_1=0,3.7,5=2,25\left(V\right)\\U_2=I_2.R_2=0,3.15=4,5\left(V\right)\end{matrix}\right.\)

Bài 2:

a) Điện trở tương đương:

\(R_{tđ}=R_1+R_2=3+6=9\left(\Omega\right)\)

b) \(I=I_1=I_2=\dfrac{U}{R_{tđ}}=\dfrac{9}{9}=1\left(A\right)\left(R_1ntR_2\right)\)

Hiệu điện thế giữa 2 đầu mỗi điện trở:

\(\left\{{}\begin{matrix}U_1=I_1.R_1=1.3=3\left(V\right)\\U_2=I_2.R_2=1.6=6\left(V\right)\end{matrix}\right.\)

][;pl,l,l,lll,

2.

a. \(\dfrac{-4}{9}\) . \(\dfrac{7}{15}+\dfrac{4}{-9}.\dfrac{8}{15}\) = \(\dfrac{-4}{9}.\left(\dfrac{7}{15}+\dfrac{8}{15}\right)\) = \(\dfrac{-4}{9}\) . 1 = \(\dfrac{-4}{9}\) 

b. \(\dfrac{5}{-4}.\dfrac{16}{25}+\dfrac{-5}{4}.\dfrac{9}{25}\) = \(\dfrac{-5}{4}.\left(\dfrac{16}{25}+\dfrac{6}{25}\right)\) = \(\dfrac{-5}{4}.1\) = \(\dfrac{-5}{4}\) 

c. \(4\dfrac{11}{23}-\dfrac{9}{14}+2\dfrac{12}{23}-\dfrac{5}{4}\) = \(\left(4\dfrac{11}{23}+2\dfrac{12}{23}\right)\) \(-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{68}{23}-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{745}{322}\) - \(\dfrac{5}{4}=\dfrac{685}{644}\) 

d. \(2\dfrac{13}{27}-\dfrac{7}{15}+3\dfrac{14}{27}-\dfrac{8}{15}\) = \(\left(2\dfrac{13}{27}+3\dfrac{14}{27}\right)\) - \(\left(\dfrac{7}{15}-\dfrac{8}{15}\right)\) = \(\dfrac{68}{27}\) - \(\dfrac{-1}{15}\) = 

e. \(11\dfrac{1}{4}-\left(2\dfrac{7}{5}+5\dfrac{1}{4}\right)\) = \(11\dfrac{1}{4}\) - \(\dfrac{81}{20}\) = \(\dfrac{-13}{10}\) 

g. \(\dfrac{7}{19}.\dfrac{8}{11}+\dfrac{7}{19}.\dfrac{3}{11}+\dfrac{12}{19}\) = \(\dfrac{7}{9}.\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{12}{19}\) = \(\dfrac{7}{9}.1+\dfrac{12}{19}\) = \(\dfrac{7}{19}+\dfrac{12}{19}\) = \(1\)

Mình đang càn gấp câu c ạ, mọi người giúp mình câu c được không ạ??

Gọi n_Mg=x mol, n_Al=y mol 
nH₂=\(\dfrac{5,6}{22,4}=0,25mol\)

Mg + 2HCl → MgCl₂ + H₂

 x  →    2x  →      x    →    x

2Al + 6HCl → 2AlCl₃ + 3H₂

 y  →    3y    →    y   → 1,5y

\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=0,25\end{matrix}\right.\) ⇔ \(\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

a) %_Mg=\(\dfrac{0,1.24}{5,1}.100\%\approx47,06\%\)

%_Al = 100% - 47,06%=52,94%

b) n_HCl=2x+3y=0,1.2+0,1.3=0,5 mol

m_HCl = 0,5 . 36,5=18,25g

m=\(\dfrac{18,25.100}{10}=182,5g\)

c) MgCl₂ + 2NaOH → Mg(OH)₂ + 2NaCl

      x              →               x

AlCl₃ + 3NaOH → Al(OH)₃ + 3NaCl

  y              →           y

a = mMg(OH)₂ + mAl(OH)₃

                 = 0,1.58 + 0,1.78 =13,6g