Tỉ lệ \(x=\dfrac{y}{-5}\)

x             -4                 -1                2                   3

y             20                 5               -10               -15

\(R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{24\cdot12}{24+12}=8\Omega\)

\(I=\dfrac{U}{R}=\dfrac{12}{8}=1,5A\)

\(P=\dfrac{U^2}{R}=\dfrac{12^2}{8}=18W\)

\(Q_{tỏa1}=A_1=U_1\cdot I_1\cdot t=12\cdot\dfrac{12}{24}\cdot1\cdot3600=21600J\)

\(Q_{tỏa2}=A_2=U_2\cdot I_2\cdot t=12\cdot\dfrac{12}{12}\cdot1\cdot3600=43200J\)

CHÚC BẠN HỌC TỐT NHA

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

\(1,ĐK:x\ge2\\ PT\Leftrightarrow\sqrt{3x-6}+x-2-\left(\sqrt{2x-3}-1\right)=0\\ \Leftrightarrow\dfrac{3\left(x-2\right)}{\sqrt{3x-6}}+\left(x-2\right)-\dfrac{2\left(x-2\right)}{\sqrt{2x-3}+1}=0\\ \Leftrightarrow\left(x-2\right)\left(\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\left(tm\right)\\\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1=0\left(1\right)\end{matrix}\right.\)

Với \(x>2\Leftrightarrow-\dfrac{2}{\sqrt{2x-3}+1}>-\dfrac{2}{1+1}=-1\left(3x-6\ne0\right)\)

\(\Leftrightarrow\left(1\right)>0-1+1=0\left(vn\right)\)

Vậy \(x=2\)

\(2,ĐK:x\ge-1\)

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\Leftrightarrow a^2+b^2=x^2+2\)

\(PT\Leftrightarrow2a^2+2b^2-5ab=0\\ \Leftrightarrow\left(a-2b\right)\left(2a-b\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\b=2a\end{matrix}\right.\)

Với \(a=2b\Leftrightarrow x+1=4x^2-4x+4\left(vn\right)\)

Với \(b=2a\Leftrightarrow4x+4=x^2-x+1\Leftrightarrow x^2-5x-3=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\left(tm\right)\\x=\dfrac{5-\sqrt{37}}{2}\left(tm\right)\end{matrix}\right.\)

Vậy ...

\(3,ĐK:x\ge-1\\ PT\Leftrightarrow3\left(x^2-x+1\right)-2\left(x+1\right)=5\sqrt{x^3+1}\) 

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\)

\(PT\Leftrightarrow3b^2-2a^2=5ab\\ \Leftrightarrow2a^2+5ab-3b^2=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\a=-3b\left(vn\right)\end{matrix}\right.\Leftrightarrow a=2b\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\\x=\dfrac{5-\sqrt{37}}{2}\end{matrix}\right.\left(\text{giống bài 2}\right)\)

Bài 1:

(1) \(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)

(2) \(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)

(3) \(AlCl_3+3KOH\rightarrow3KCl+Al\left(OH\right)_3\downarrow\)

(4) \(Al\left(OH\right)_3+3HCl\rightarrow AlCl_3+3H_2O\)

(5) \(2Al\left(OH\right)_3\xrightarrow[]{t^o}Al_2O_3+3H_2O\)

(6) \(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)

(7) \(Al_2O_3+2NaOH\rightarrow2NaAlO_2+H_2O\)

(8) \(Al+NaOH+H_2O\rightarrow NaAlO_2+\dfrac{3}{2}H_2\uparrow\)

(9) \(2Al_2O_3\xrightarrow[criolit]{đpnc}4Al+3O_2\)

Bài 2:

PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

              a_______a_______a_____a    (mol)

            \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)

                b_______b________b____b     (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}56a+24b=21,6\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3\cdot56}{21,6}\cdot100\%\approx77,78\%\\\%m_{Mg}=22,22\%\end{matrix}\right.\)

Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{Mg\left(OH\right)_2}=n_{Mg}=0,2\left(mol\right)\\n_{Fe\left(OH\right)_2}=n_{Fe}=0,3\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{kết.tủa}=m_{Fe\left(OH\right)_3}+m_{Mg\left(OH\right)_2}=0,3\cdot107+0,2\cdot56=43,3\left(g\right)\)

Theo các PTHH: \(n_{H_2SO_4\left(p/ứ\right)}=0,5\left(mol\right)\) \(\Rightarrow n_{H_2SO_4\left(ban.đầu\right)}=0,5\cdot120\%=0,6\left(mol\right)\)

\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,6\cdot98}{10\%}=588\left(g\right)\)

Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{MgO}=n_{Mg}=0,2\left(mol\right)\\n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{chất.rắn}=m_{MgO}+m_{Fe_2O_3}=0,2\cdot40+0,15\cdot160=32\left(g\right)\)

iz

gấp lắm ạ. Mọi người giúp mình với ạ. Tối nay mình cần rồi.