Correct Answer: A. Grave

Correct Answer: D. retirement benefits

Correct Answer: D) 50cm³

Explanation

The question is about a reaction between hydrogen and oxygen gases, and the residual gas volume after the reaction mixture passes through an alkaline solution of pyrogallol.

First, let's consider the balanced chemical equation for the reaction between hydrogen and oxygen gases:

\(2H_2(g) + O_2(g) \rightarrow 2H_2O(g)\)

From the equation, we can see that 2 moles of hydrogen gas react with 1 mole of oxygen gas to form 2 moles of water vapor. Now let's examine the initial conditions: 50 cm\(^3\) of hydrogen and 100 cm\(^3\) of oxygen at 110\(^{\circ}\)C and 1 atm.

Since the volume ratio of hydrogen to oxygen is 1:2 in the balanced equation, the reaction will consume all 50 cm\(^3\) of hydrogen and half of the 100 cm\(^3\) of oxygen, leaving 50 cm\(^3\) of oxygen unreacted.

Now, let's consider the effect of passing the reaction mixture through an alkaline solution of pyrogallol. Pyrogallol has a strong affinity for oxygen and will absorb the unreacted oxygen gas. Therefore, the residual gas volume after passing through the pyrogallol solution will only consist of the water vapor produced by the reaction.

Since we started with 50 cm\(^3\) of hydrogen, and the balanced equation shows a 1:1 ratio of hydrogen to water vapor, the water vapor produced also has a volume of 50 cm\(^3\). Therefore, the volume of the residual gas is50 cm\(^3\), which corresponds toOption D.

Correct Answer: A. #57,470

Correct Answer: A. Nehemiah

Correct Answer: C. Providing enough ships for the country

Explanation

Option C is not a function of ports authority. Ships can be owned by anyone

Correct Answer: A. 64.0J

Explanation

E = \(\frac{1}{2}Ke^2\)

= \(\frac{1}{2} \times 200(0.8)^2 = 64J\)

Correct Answer: A. residents of a country travel within it

Correct Answer: D. wage rate

Explanation

(a)Fixed Cost of production is the sum of the cost of all the fixed inputs used in a production process. Fixed Costs do not change with the changing output in the short run. This means that no matter the level of production, they remain fixed. Example of this is cost of machinery, land etc. FC = TC — VC.

Variable Cost, on the other hand, is the sum of the cost of all the variable inputs of production. It includes the cost of labour, raw materials and any other item whose cost changes as output changes in the short-run. Therefore, the more goods and services produced, the higher they tend to be and vice versa. VC = TC — FC.

(b) The difference between marginal Cost and Marginal Revenue; is that marginal cost is the change in total cost as a result of a unit change in output. Marginal cost does not depend on fixed cost but on the variable cost. MC = change in \(\frac{TC} {Dq}\)

On the other hand, Marginal revenue is the change in total revenue as a result of a change in quantity sold. MR = \(\frac{DTR} {Q}\)

(c) Total Cost of production is the sum of all the fixed and the variable cost incurred during production process. This varies with the level of output. TC = FC + VC. Total revenue is the total amount of money earned by selling a given level of output. Total revenue may increase, remain constant or decrease with changes in price. TR = p x q

(d) Average Cost is the total cost (TC) divided by the Total Output (Q). It is the unit cost, i.e., \(\frac{TC} {Q}\) = AC.

Average Revenue is the unit price. It is the Total Revenue (TR) divided by the output (Q).

\(\frac{ TR} {Q}\)- AR.