1. B

2. C

3. C

4. B

5. A

6. D

7. C

8. C

9. A

10. B

1. B 2. C 3. C 4. B 5. A 6. D 7. C 8. C 9. A 10. B

Ta có: \(n_{CH_3COOH}=\dfrac{60}{60}=1\left(mol\right)\)

a, PT: \(2CH_3COOH+K_2CO_3\rightarrow2CH_3COOK+CO_2+H_2O\)

_________1____________________1_________0,5 (mol)

b, V_CO2 = 0,5.22,4 = 11,2 (l)

c, m_CH3COOK = 1.98 = 98 (g)

Bạn tham khảo nhé!

a) PTHH:         2CH₃COOH + K₂CO₃ → 2CH₃COOK + CO₂↑ + H₂O

b) n_CH3COOH = \(\dfrac{m}{M}=\dfrac{60}{60}=1\left(mol\right)\)

Theo PTHH: n_CO2 = \(\dfrac{1}{2}\).n_CH3COOH = 0,5 (mol)

=> V_{CO2 (đktc)} = n.22,4 = 0,5.22,4 = 11,2 (lít)

c) Theo PTHH: n_CH3COOK = n_CH3COOH = 1 (mol)

=> m_CH3COOK = n.M = 1.98 = 98 (g)

Mặc dù hơi muộn nhưng mà chúc bạn thi đạt kết quả tốt nha ^_^

c.

\(\left\{\begin{matrix} 9x-6y=4\\ 15x-10y=7\end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x=\frac{6y+4}{9}\\ 15x-10y=7\end{matrix}\right.\)

\(\Rightarrow 15.\frac{6y+4}{9}-10y=7\)

\(\Leftrightarrow \frac{5}{3}(6y+4)-10y=7\Leftrightarrow \frac{20}{3}=7\) (vô lý)

Do đó hpt vô nghiệm.

d.

\(\left\{\begin{matrix} 4x+5y=3\\ x-3y=5\end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} 4x+5y=3\\ x=3y+5\end{matrix}\right.\Rightarrow 4(3y+5)+5y=3\)

\(\Leftrightarrow 17y+20=3\Leftrightarrow 17y=-17\Leftrightarrow y=-1\)

\(x=3y+5=-3+5=2\)

Vậy HPT có nghiệm $(x,y)=(2,-1)$

Các câu còn lại bạn làm theo pp tương tự.

1.

HPT \(\Leftrightarrow \left\{\begin{matrix} 5x-y=4\\ 3x-y=5\end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} 5x-y=4\\ y=3x-5\end{matrix}\right.\)

\(\Rightarrow 5x-(3x-5)=4\Leftrightarrow 2x+5=4\Leftrightarrow 2x=-1\Leftrightarrow x=\frac{-1}{2}\)

\(y=3x-5=\frac{-3}{2}-5=\frac{-13}{2}\)

Vậy HPT có nghiệm $(x,y)=(\frac{-1}{2}, \frac{-13}{2})$

2.

HPT \(\Leftrightarrow \left\{\begin{matrix} 4xy+8x-6y-12=4xy-12x+54\\ 3xy-3x+3y-3=3xy+3y-12\end{matrix}\right.\)

\(\Leftrightarrow \left\{\begin{matrix} 20x-6y=66\\ -3x=-9\end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} 6y=20x-66\\ x=3\end{matrix}\right.\Leftrightarrow \left\{\begin{matrix} x=3\\ y=-1\end{matrix}\right.\)

Vậy HPT có nghiệm $(3,-1)$

3.1:

Ô tô đi hết 1h50'+40'=2h30'

3.2:

Ô tô đi hết:

17h50'-15h15'

=2h35'

Bài 1: 

b: Xét ΔOAC và ΔOBD có

OA=OB

\(\widehat{AOC}=\widehat{BOD}\)

OC=OD

Do đó: ΔOAC=ΔOBD

Câu 1.

Gọi \(\left\{{}\begin{matrix}n_{CH_4}=a\left(mol\right)\\n_{C_2H_6}=b\left(mol\right)\end{matrix}\right.\)

\(n_{CO_2}=\dfrac{6,72}{22,4}=0,3mol\)

\(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

\(C_2H_6+\dfrac{7}{2}O_2\underrightarrow{t^o}2CO_2+3H_2O\)

\(\Rightarrow\left\{{}\begin{matrix}16a+30b=4,6\\a+2b=0,3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)

\(\%m_{CH_4}=\dfrac{0,1\cdot16}{4,6}\cdot100\%=34,78\%\)

\(\%m_{C_2H_6}=100\%-34,785=65,22\%\)