how many moles of water are produced when 05 moles of methane ch4 react with excess oxygen

ATI TEAS 7

TEAS 7 science practice questions

1. How many moles of water are produced when 0.5 moles of methane (CH4) react with excess oxygen?

A. 0.5 moles
B. 1 mole
C. 2 moles
D. 3 moles

Correct answer: B

Rationale: The balanced chemical equation for the combustion of methane is: CH4 + 2O2 -> CO2 + 2H2O. This equation shows that 1 mole of methane produces 2 moles of water. Therefore, when 0.5 moles of methane react, they will produce 1 mole of water. The ratio of water to methane is 2:1, meaning that for every mole of methane that reacts, it produces 2 moles of water. Since only 0.5 moles of methane are reacting, the amount of water produced will be half of what would be produced if 1 mole of methane reacted, resulting in 1 mole of water being produced. Choice A is incorrect because it does not consider the stoichiometry of the reaction. Choices C and D are incorrect as they do not align with the balanced chemical equation and the stoichiometric ratios involved in the reaction.

2. What is the unit of measurement for momentum?

A. Newton-second (N·s)
B. Kilogram-meter (kg·m)
C. Joule (J)
D. Meter per second (m/s)

Correct answer: A

Rationale: The correct unit of measurement for momentum is Newton-second (N·s). Momentum is calculated as the product of an object's mass and its velocity. The unit of mass is kilograms (kg) and the unit of velocity is meters per second (m/s). Therefore, the unit of momentum is kilogram-meter per second (kg·m/s). By Newton's second law of motion (F = ma), force is measured in Newtons (N), which is equivalent to kg·m/s². Multiplying the unit of force (N) by the unit of time (s) gives the unit of momentum as Newton-second (N·s). Choice B, Kilogram-meter (kg·m), is incorrect because it represents the unit of work or energy, not momentum. Choice C, Joule (J), is incorrect as it is a unit of energy. Choice D, Meter per second (m/s), is incorrect as it represents velocity alone, not momentum which is a vector quantity involving mass and velocity.

3. Which of the following systems is responsible for transporting blood throughout the body?

A. Respiratory
B. Circulatory
C. Nervous
D. Digestive

Correct answer: B

Rationale: The correct answer is B: Circulatory. The circulatory system, made up of the heart, blood vessels, and blood, is responsible for transporting blood throughout the body. It plays a vital role in delivering oxygen, nutrients, hormones, and removing waste products from cells. The respiratory system, on the other hand, is responsible for gas exchange in the lungs. The nervous system transmits signals between different parts of the body, while the digestive system processes food and absorbs nutrients from it. Therefore, choices A, C, and D are incorrect as they are not primarily involved in the transportation of blood throughout the body.

4. What happens to the frequency of a wave when its wavelength is doubled, assuming the speed remains constant?

A. Frequency remains the same.
B. Frequency is halved.
C. Frequency is doubled.
D. Frequency information is insufficient to determine.

Correct answer: B

Rationale: When the wavelength of a wave is doubled, and the speed of the wave remains constant, the frequency of the wave is halved. This relationship is governed by the equation speed = frequency x wavelength. Therefore, if the wavelength is doubled while the speed remains constant, the frequency must be halved to maintain a constant speed. Choice A is incorrect because frequency and wavelength are inversely proportional when speed is constant. Choice C is incorrect as doubling the wavelength does not result in a doubled frequency. Choice D is incorrect as the relationship between frequency, wavelength, and speed can be determined using the given information.