KCET · Chemistry · Solid State
\( 10 \mathrm{~g} \) of a mixture of \( \mathrm{BaO} \) and \( \mathrm{CaO} \) requires \( 100 \mathrm{~cm}^{3} \) of \( 2.5 \mathrm{M} \mathrm{HCl} \) to react completely. The
percentage of calcium oxide in the mixture is approximately
(Given : molar mass of \( \mathrm{BaO}=153 \) )
- A \( 55.1 \)
- B 17.4
- C \( 52.6 \)
- D 14.9
Answer & Solution
Correct Answer
(C) \( 52.6 \)
Step-by-step Solution
Detailed explanation
For the completely neutralization reaction,
Let the mass of \( \mathrm{CaO} \) in mixture is \( x \mathrm{~g} \) and that of BaO is \( 10-x g \)
Now, The sum of the gram equivalents of \( \mathrm{CaO} \) and \( \mathrm{BaO} \)
\[
\begin{array}{l}
=\frac{100 \times 2.5}{1000}=0.2 \\
\Rightarrow \frac{x}{28}+\frac{10-x}{76.5}=0.25 \\
\Rightarrow \frac{76.5 x+280-28 x}{28 \times 76.5}=0.25 \\
\Rightarrow 48.5 x=(0.25 \times 25 \times 76.5)-280 \\
\Rightarrow x=\frac{255.5}{48.5}=5.26
\end{array}
\]
Percentage of \( \mathrm{CaO} \) in mixture is \( =\frac{5.26}{10} \times 100=52.6 \% \)
Let the mass of \( \mathrm{CaO} \) in mixture is \( x \mathrm{~g} \) and that of BaO is \( 10-x g \)
Now, The sum of the gram equivalents of \( \mathrm{CaO} \) and \( \mathrm{BaO} \)
\[
\begin{array}{l}
=\frac{100 \times 2.5}{1000}=0.2 \\
\Rightarrow \frac{x}{28}+\frac{10-x}{76.5}=0.25 \\
\Rightarrow \frac{76.5 x+280-28 x}{28 \times 76.5}=0.25 \\
\Rightarrow 48.5 x=(0.25 \times 25 \times 76.5)-280 \\
\Rightarrow x=\frac{255.5}{48.5}=5.26
\end{array}
\]
Percentage of \( \mathrm{CaO} \) in mixture is \( =\frac{5.26}{10} \times 100=52.6 \% \)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Chemistry
- Which of the following cations will have minimum flocculation value for arsenic sulphide sol?KCET 2013 Medium
- While charging the lead storage battery,KCET 2015 Medium
- Which is the most suitable reagent for the following conversion ?
KCET 2021 Easy - HCHO was treated with a reagent X. The product formed upon hydrolysis in the presence of an acid gave \(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\). The reagent \(\mathrm{X}\) isKCET 2012 Medium
- Presence of halogen in organic compounds can be detected usingKCET 2007 Easy
- In \(\text{S}_\text{N}1\) reaction, the alkyl halide that on hydrolysis produces racemic mixture isKCET 2026 Medium
More PYQs from KCET
- \(G=\left\{\left[\begin{array}{ll}x & x \\ x & x\end{array}\right], x\right.\) is a non-zero real number \(\}\) is a group with respect to matrix multiplication.
In this group, the inverse of \(\left[\begin{array}{ll}\frac{1}{3} & \frac{1}{3} \\ \frac{1}{3} & \frac{1}{3}\end{array}\right]\) isKCET 2011 Medium - Which of the following is an incorrect statement?KCET 2021 Easy
- A, B and C are the parallel sided transparent media of refractive indices \(\mathrm{n}_{1}, \mathrm{n}_{2}\) and \(\mathrm{n}_{3}\) respectively. They are arranged as shown in the figure. A ray is incident at an angle \(i\) on the surface of separation of A and B which is as shown in the figure. After the refraction into the medium \(B\), the ray grazes the surface of separation of the madia B and C. Then, \(\sin i\) equals to
KCET 2010 Hard - The number of chain isomers possible for the hydrocarbon with molecular formula \(\text{C}_5\text{H}_{12}\) isKCET 2026 Easy
- Five identical resistors each of resistance \( R=1500 \Omega \) are connected to a \( 300 \vee \) battery as shown in the circuit. The reading if the ideal ammeter \( \mathrm{A} \) is
KCET 2018 Easy - Which of the following crystals has the unit cell such that \(a=b \neq c\) and \(\alpha=\beta=90^{\circ}\),\(\gamma=120^{\circ} ?\)KCET 2024 Medium