Correct Answer: C. lichen

Correct Answer: A) 58.07

Explanation

To determine the relative molecular mass of the gas, we need to use the ideal gas equation:

\(PV = nRT\)

where \(P\) is the pressure, \(V\) is the volume, \(n\) is the amount of substance in moles, \(R\) is the gas constant, and \(T\) is the temperature in Kelvin.

First, convert the temperature to Kelvin:

\(T = 20^{\circ}C + 273.15 = 293.15K\)

Next, convert the volume to meters cubed:

\(V = 512 cm^3 = 0.000512 m^3\)

Now, we can rearrange the ideal gas equation to solve for the amount of substance, \(n\):

\(n = \frac{PV}{RT}\)

Substitute the given values:

\(n = \frac{(1 atm)(0.000512 m^3)}{(8.314 JK^{-1}mol^{-1})(293.15K)}\)

Convert the pressure from atm to J m\(^{-3}\):

\(1 atm = 101,325 J m^{-3}\)

\(n = \frac{(101,325 J m^{-3})(0.000512 m^3)}{(8.314 JK^{-1}mol^{-1})(293.15K)}\)

Calculate \(n\):

\(n \approx 0.0213 mol\)

Now, we can determine the relative molecular mass by dividing the mass of the gas by the amount of substance:

Relative Molecular Mass = \(\frac{mass}{moles}\)

Relative Molecular Mass = \(\frac{1.236g}{0.0213 mol} \approx 58.07\)

So, the correct answer isOption A: 58.07.

Correct Answer: C. 291

Explanation

Note that every 4- digit and 5- digit numbers formed is greater than 150. Therefore, \(^{5}P_{5} + ^{5}P_{4} = \frac{5!}{(5 - 5)!} + \frac{5!}{(5 - 4)!} = 120 + 120 = 240\) numbers are greater than 150 already.

Among the 3- digit numbers, the numbers 123, 124, 125, 132, 134, 135, 142, 143 and 145 are removed from the ones that meet the criterion so we have:

\(^{5}P_{3} - 9 = \frac{5!}{(5 - 3)!} = 60 - 9 = 51 \implies 240 + 51 = 291\) numbers are greater than 150.

Correct Answer: A. Abdullahi bn Umar

Explanation

Explanation of different Insurance Concepts

(a)Non-indemnity insurance; is in the case where the insurance company cannot restore the person insured to his former position before the occurrence of the risk e.g. life assurance - no restoration of life after death or loss of limb in the case of personal accident insurance. What the insurance does is to pay compensation not restoration.

(b)Group insurance: The is the insurance where employers insure the lives of all or a group of their employees collectively under one policy. It is usually taken out for athletes, players on an outing engagement or factory workers. Any member suffering any loss is covered by the group policy.

(c) Re-insurance:-This refers to the situation where an insurer insures the whole or part of its customers risks that it had undertaken with another insurance company. This helps in case of liability on the part of the insurance company to settle claims.

(d)Under insurance:- This refers to the insurance of a property or any good for less than its real value. If a house worth ten million naira (N1000000) insured for five million naira (N5000000) is gutted by fire, the insurance company would only pay N5000000. it prevents the insurance company from charging adequate premium. it is subject to average condition where the insured is responsible for the under insured value.

(e)Consequential loss insurance:-This covers the business against loss of profit as a result of being out of business because of fire incidence. It makes up for the profit the business would have been making if the business was no disrupted it is usually taken in addition to tire insurance.

Correct Answer: D. HNO₂

Correct Answer: B. movements of migrants between states

Correct Answer: A. discounting

Correct Answer: A. 1 : 50,000

Explanation

A is correct; when the map is enlarged the new scale is 1 : 50,000 A is correct. when the map is enlarged the representative fraction becomes smaller i.e. 1: 150,000/3 = 1: 50,000

Correct Answer: D. 200Km