Correct Answer: C. stand still

Explanation

As a result of the power cut, production at the paint factory came to a stand still

Stand still; remain fixed or immobile

Correct Answer: B. Jesus has authority to forgive sins

Correct Answer: C. 6KOH + 3Cl₂ ---------> KClO₃ + 5KCl + 3H₂O

Explanation

The reaction of chlorine (Cl_2) with hydroxide solutions depends on the temperature. Chlorine undergoes disproportionation in alkaline solutions.

1. Cold, dilute sodium hydroxide (or potassium hydroxide) solution:

Chlorine reacts to form chloride ions (Cl^-) and hypochlorite ions (ClO^-).

The balanced equation is:

Cl_2 + 2NaOH \rightarrow NaCl + NaClO + H_2O

If using KOH: Cl_2 + 2KOH \rightarrow KCl + KClO + H_2O

This matches option A.

2. Hot, concentrated sodium hydroxide (or potassium hydroxide) solution:

At higher temperatures, the hypochlorite ions disproportionate further to form chlorate ions (ClO_3^-) and chloride ions (Cl^-).

The overall balanced equation for the reaction of chlorine with hot concentrated alkali is:

3Cl_2 + 6NaOH \rightarrow 5NaCl + NaClO_3 + 3H_2O

If using KOH: 3Cl_2 + 6KOH \rightarrow 5KCl + KClO_3 + 3H_2O

This matches option C.

Let's examine the given options:

A. 2KOH + Cl_2 \rightarrow KClO + KCl + H_2O

This equation represents the reaction of chlorine with cold, dilute potassium hydroxide solution.

B. 4KOH + 2Cl_2 \rightarrow 4KCl + 2H_2O + O_2

This equation suggests the formation of oxygen, which is not the primary outcome of chlorine disproportionation with hydroxide under these conditions.

C. 6KOH + 3Cl_2 \rightarrow KClO_3 + 5KCl + 3H_2O

This equation correctly represents the reaction of chlorine with hot, concentrated potassium hydroxide solution, where chlorine disproportionates into chloride (oxidation state -1) and chlorate (oxidation state +5).

D. 2KOH + Cl \rightarrow 2KCl + H_2O

This equation is incorrect. Chlorine exists as Cl_2, not Cl. Also, the stoichiometry and products are not balanced for a redox reaction of chlorine with hydroxide.

Since the question asks for the reaction with hot concentrated sodium hydroxide solution (represented by KOH in the options, which behaves identically), option C is the correct answer.

The final answer is C

Explanation

Assumed mean, A = 19.

(a) \(\bar{x} = A + \frac{\sum fd}{\sum f}\)

= \(19 + \frac{-54}{22}\)

= \(19 - 2.455\)

= \(16.545 \approxeq 16.5\) years.

(b) Standard deviation , \(\sigma = \sqrt{\frac{\sum fd^{2}}{\sum f} - (\frac{\sum fd}{\sum f})}\)

= \(\sqrt{\frac{360}{22} - (\frac{-54}{22})}\)

= \(\sqrt{16.364 - (2.45)^{2}}\)

= \(\sqrt{16.364 - 6.025}\)

= \(\sqrt{10.339}\)

= 3.215 \(\approxeq\) 3.22 years.

Correct Answer: A. nitrogen

Correct Answer: D. al Kawthar

Correct Answer: C. Laccolith

Correct Answer: A. \(11.6cm^2\)

Explanation

\(\theta = 115° , radius = 3.4cm^2\)

Area of a sector = \(\frac{\theta}{360} \times \pi r^2\)

= \(\frac{115}{360} \times \frac{22}{7} \times 3.4\times 3.4\)

= \(\frac{29246.4}{2520}\)

= \(11.6cm^2\)

Correct Answer: A. 10km

Explanation

(a) Young's modulus is the ratio of tensile or compressive stress to tensile or compressive strain.

(b) W = \(\frac{1}{2}\)K = \(\frac{1}{T}\) x 50 x 0.04 = 1.0J