giúp mình bài 2 với ạ mình đang cần gấp ạ
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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) nSO2 = 1,5a = 0,45 (mol)
nNaOH = 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:
\(\left\{{}\begin{matrix}U_1=I_1.R_1=1.3=3\left(V\right)\\U_2=I_2.R_2=1.6=6\left(V\right)\end{matrix}\right.\)
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 nMg=x mol, nAl=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) nHCl=2x+3y=0,1.2+0,1.3=0,5 mol
mHCl = 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
Bài 2
a) 3x(x - 1) - 3(x - 1) = 0
(x - 1)(3x - 3) = 0
3(x - 1)(x - 1) = 0
3(x - 1)² = 0
x - 1 = 0
x = 1
b) x² - x = 0
x(x - 1) = 0
x = 0 hoặc x - 1 = 0
*) x - 1 = 0
x = 1
Vậy x = 0; x = 1
c) 25x² - 100x = 0
25x(x - 4) = 0
25x = 0 hoặc x - 4 = 0
*) 25x = 0
x = 0
*) x - 4 = 0
x = 4
Vậy x = 0; x = 4
d) (2x - 1)² - 64 = 0
(2x - 1 - 8)(2x - 1 + 8) = 0
(2x - 9)(2x + 7) = 0
*) 2x - 9 = 0
2x = 9
x = 9/2
*) 2x + 7 = 0
2x = -7
x = -7/2
Vậy x = -7/2; x = 9/2
giúp tui với mng ơi tui đang cần gấp ạaaa