Correct Answer: A)

3P\(_1\)

Explanation

In order to explain this question, we should first recall the ideal gas law, which relates the pressure, volume, and temperature of an ideal gas. The ideal gas law is given by the equation:

\(PV = nRT\)

Where P is the pressure, V is the volume, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature in Kelvin.

In this question, we are given that the volume of the gas is halved, which means that the final volume V\(_2\) is half of the initial volume V\(_1\). Mathematically, this can be represented as:

\(V_2 = \frac{1}{2}V_1\)

Additionally, we are given that the temperature increases by half its initial value. Therefore, the final temperature T\(_2\) is 1.5 times the initial temperature T\(_1\). Mathematically, this is:

\(T_2 = 1.5T_1\)

Now, we can use the ideal gas law to find the final pressure P\(_2\). Since the number of moles and the ideal gas constant remain constant, we can write the initial and final states of the gas as:

\(P_1V_1 = nRT_1\) and \(P_2V_2 = nRT_2\)

Divide the two equations to eliminate nR:

\(\frac{P_2V_2}{P_1V_1} = \frac{T_2}{T_1}\)

Substitute the expressions for V\(_2\) and T\(_2\):

\(\frac{P_2(\frac{1}{2}V_1)}{P_1V_1} = \frac{1.5T_1}{T_1}\)

We can see that V\(_1\) and T\(_1\) cancel out:

\(\frac{P_2}{2P_1} = 1.5\)

Finally, isolate P\(_2\) to find the final pressure:

\(P_2 = 3P_1\)

Therefore, the correct answer isOption A: 3P\(_1\).

Correct Answer: C. 3.13

Correct Answer: A. exothermic

Correct Answer: D. IV

Correct Answer: A. Assets = Liabilities + Equity

Explanation

The fundamental accounting equation is Asset = Capital + Liabilities. Asset = Liabilities + Equity the total assets of the company is generated through liabilities to outsiders that the company is still enjoying in addition with the equity by the owners of the business

Correct Answer: C. Transportation

Correct Answer: A. 7920

Explanation

= \(\frac{12!}{2! 3! 7!} \)

\(\frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{2 \times 3 \times 2 \times 7!}\)

= \(7,920\)

Correct Answer: B) fragmentation

Explanation

Spirogyra is a type of green algae that can reproduce in different ways. One of the ways it reproduces vegetatively is by fragmentation. This means that a part of the Spirogyra plant can break off and grow into a new plant. This is different from spore production, multiple fission, binary fission, and division which are other methods of reproduction used by different organisms. Fragmentation is the process of breaking off a part of the plant, which can then grow into a new plant. This is a relatively simple and effective way for Spirogyra to reproduce. It allows the plant to quickly create new individuals without having to go through the more complex process of sexual reproduction. It's important to note that fragmentation is just one of the ways that Spirogyra can reproduce vegetatively. Other organisms may use different methods depending on their characteristics and environment. For more information on Spirogyra and other types of algae, you can consult your Biology textbook.

Correct Answer: C. black

Correct Answer: B) 1995

Explanation

To answer the question, we need to identify the correct year of the execution from the options given. Option B, 1995, is the correct answer. This means that Ken Saro-Wiwa and the other Ogoni leaders were executed in 1995.

It is important to note that the execution of Ken Saro-Wiwa and the other Ogoni leaders was widely condemned by the international community. The event drew attention to the human rights abuses and environmental issues in the Niger Delta region of Nigeria. It is a reminder of the importance of protecting human rights and the environment.