Correct Answer: A. generous

Correct Answer: D. distance between rails of a track

Correct Answer: B. \(225 - \frac{3x}{2}\)

Explanation

Let A and B be the sum for the boys and girls respectively.

\(\frac{A + B}{10 + 15} = \frac{A + B}{25} = 90\)

\(\implies A + B = 90 \times 25 = 2250\)

Given the average for girls = x, we have \(\frac{B}{15} = x \implies B = 15x)

\(\therefore A + 15x = 2250; A = 2250 - 15x \implies\) average score for boys \(= \frac{2250 - 15x}{10}\)

= \(225 - \frac{3x}{2}\)

Correct Answer: B. faith in God

Explanation

(A) PETER'S MIRACULOUS ESCAPE FROM PRISON (ACTS 12:1-19)

i. Herod Agrippa opposed and persecuted the church.

ii. He killed James, the brother of John.

iii. When Herod realised that the death of James pleased the Jews, he went ahead to arrest Peter.

iv. This arrest took place during the celebration of the feast of the unleavened bread.

v. Herod intended to have Peter killed after the Passover celebrations.

vi. The night before the day Herod planned to kill Peter, Peter was bound with chains and placed between two soldiers/ he was heavily guarded to prevent his escape.

vii. While Peter was in prison, constant prayers were said on his behalf.

viii. As Peter was asleep, an angel of the Lord appeared to him and a light shone in the cell.

ix. The angel touched and woke him up, saying, "Get up quickly."

x. Immediately, the chains fell off from his hands and the angel told him to dress up Which Peter obeyed.

xi. The angel then commanded Peter to follow him.

xii. Peter thought that he was dreaming all the while.

xiii. But when he passed through the first and second gates and came to the Iron Gate leading into the city, the gate opened of its own accord.

xiv. When the angel left Peter, he realised that the Lord had sent an angel to rescue him from the power of Herod.

xv. Peter immediately went to the house of Mary the mother of John Mark where the brethren had gathered to pray for him in the middle of the night.

xvi. When Peter knocked at the door, Rhoda identified his voice and told the brethren that Peter was at the door knocking.

xvii. But the brethren expressed disbelief and said Rhoda was mad.

xviii. They said the one at the door might be Peter's angel/ghost.

xix. Eventually, when the door was opened and they saw Peter, they were amazed and wanted to shout for joy but Peter restrained them.

xx. Peter described how his release from prison happened and he later fled from Jerusalem.

xxi. As Peter could not be found in the morning after a search, Herod ordered for the execution of the guards.

(B) FACTORS THAT MOTIVATE PEOPLE TO PRAY

i. In times of sickness/stress or difficult, etc. (Petition/Supplication Prayer).

ii. When people sin against God, they pray to confess their sins and ask for forgiveness (Confessional prayer).

iii. To dedicate or commit oneself to God as a new being (Dedication prayer).

iv. To bless or consecrate an object/building, vestment, etc.

v. To seek God's counsel or favours in making important decisions, e.g. examinations, interviews, etc.

vi. To obtain protection against evil/the devil.

vii. The desire for spiritual growth.

viii. To intercede for loved ones going through affliction (Intercessory prayers).

ix. For adoration/appreciation or thanksgiving to God for His mercies (Thanksgiving prayer).

x. When led by the Holy Spirit/fellowship of believers.

Correct Answer: C. capsule

Correct Answer: C. 150cm³

Explanation

Here's how to solve this problem:

1. Write the balanced chemical equation for the reaction:

The reaction between hydrogen and oxygen produces water.

2H₂(g) + O₂(g) → 2H₂O(l)

2. Apply Gay-Lussac's Law of Combining Volumes:

For gases at constant temperature and pressure, the ratio of the volumes of reacting gases is the same as the ratio of their stoichiometric coefficients in the balanced equation.

From the equation, 2 volumes of hydrogen react with 1 volume of oxygen.

3. Determine the limiting reactant:

* We have 100 cm³ of hydrogen (H₂).

* According to the stoichiometry, 100 cm³ of H₂ will react with (1/2) * 100 cm³ = 50 cm³ of O₂.

* We are given 200 cm³ of oxygen (O₂).

* Since only 50 cm³ of O₂ is *needed* to react completely with all the hydrogen, and we have 200 cm³ of O₂, oxygen is in excess. Hydrogen is the limiting reactant.

4. Calculate the volume of oxygen that reacts:

As determined above, all 100 cm³ of hydrogen will react, and it will consume 50 cm³ of oxygen.

5. Calculate the volume of oxygen left unreacted:

Initial volume of oxygen = 200 cm³

Volume of oxygen reacted = 50 cm³

Volume of oxygen left unreacted = Initial volume - Reacted volume

Volume of oxygen left unreacted = 200 cm³ - 50 cm³ = 150 cm³

Therefore, 150 cm³ of oxygen will be left unreacted.

The final answer is 150cm^3

Correct Answer: C. 1. 14 mol/dm³

Explanation

To find the solubility of KClO_3 in mol/dm^3:

1. Calculate the number of moles of KClO_3 recovered:

Number of moles = \frac{Mass}{Molar mass} = \frac{14 g}{122.5 g/mol} \approx 0.1143 mol

2. Convert the volume of the solution from cm^3 to dm^3:

Volume = \frac{100 cm^3}{1000} = 0.1 dm^3

3. Calculate the solubility (concentration in mol/dm^3):

Solubility = \frac{Number of moles}{Volume in dm^3} = \frac{0.1143 mol}{0.1 dm^3} = 1.14 mol/dm^3

Therefore, the correct option is C. 1. 14 mol/dm³.

Correct Answer: D. Saponiflication

Explanation

The correct answer is D. Saponification.

Plant ash extract contains strong alkaline compounds (mainly potassium carbonate and potassium hydroxide, often referred to as potash or lye). When vegetable oil (a triglyceride) reacts with this alkaline solution under heat, it undergoes a hydrolysis reaction known as saponification, which produces soap and glycerol. This is the traditional method used for making soap.

Correct Answer: D. should follow a direction of left to right or top to bottom