balance the chemical equation c4h10 o2 co2 h2o what is the coefficient for oxygen
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1. Balance the chemical equation: C4H10 + O2 → CO2 + H2O. What is the coefficient for oxygen?

Correct answer: B

Rationale: To balance the chemical equation, we need to ensure that the number of each type of atom is the same on both sides of the equation. In this case, there are 10 oxygen atoms on the right side (5 in CO2 and 5 in H2O). To balance this, we need to add a coefficient of 6 in front of O2 on the left side, resulting in 6 O2 molecules. This change will give us a total of 12 oxygen atoms on both sides, making the equation balanced. Choice A (5) is incorrect because it does not account for all the oxygen atoms present in the products. Choices C (7) and D (8) are incorrect as they would result in an imbalance in the number of oxygen atoms on both sides of the equation.

2. What happens to the wavelength of a wave when its frequency increases while the speed remains constant?

Correct answer: B

Rationale: When the speed of a wave is constant and the frequency increases, the wavelength must decrease to keep the speed constant. The speed of a wave is determined by the product of frequency and wavelength (speed = frequency x wavelength). If the frequency increases while the speed remains constant, the wavelength has to decrease proportionally to maintain the speed unchanged. Therefore, as the frequency increases, the wavelength decreases to ensure that the speed of the wave remains constant. Choice A is incorrect because as frequency increases, wavelength decreases. Choice C is incorrect as the wavelength cannot remain the same when frequency increases while speed is constant. Choice D is incorrect as the wavelength cannot become zero under these conditions.

3. Diabetes mellitus is a chronic condition affecting blood sugar control. What is the main type of hormone deficiency associated with type 1 diabetes?

Correct answer: A

Rationale: The correct answer is A: Insulin. Type 1 diabetes is characterized by the body's inability to produce insulin, the hormone responsible for regulating blood sugar levels. Insulin deficiency in type 1 diabetes leads to high blood sugar levels as the body cannot effectively utilize glucose for energy. Glucagon (Choice B) is a hormone that works opposite to insulin, raising blood sugar levels. Estrogen (Choice C) and testosterone (Choice D) are not directly involved in blood sugar control or the pathophysiology of type 1 diabetes.

4. What is the balanced chemical equation for the reaction between sodium and chlorine to form sodium chloride?

Correct answer: B

Rationale: In a balanced chemical equation, the number of atoms of each element must be the same on both sides of the equation. When sodium (Na) reacts with chlorine (Cl2) to form sodium chloride (NaCl), we need to ensure the equation is balanced. There are 2 chlorine atoms in Cl2; hence, we need 2 sodium atoms on the left side to balance it. Therefore, the balanced chemical equation is 2Na + Cl2 -> 2NaCl. Choice A is incorrect because it does not have the correct coefficients to balance the equation. Choice C is incorrect as it incorrectly represents the formula of sodium. Choice D is incorrect as it forms NaCl2, which is not the correct compound formed in this reaction.

5. What type of particle carries no charge and mediates the strong nuclear force between protons and neutrons?

Correct answer: C

Rationale: The correct answer is C: Gluon. Gluons are the particles responsible for mediating the strong nuclear force between protons and neutrons. They are the carriers of this force. Choice A, Electron, is incorrect as electrons are negatively charged. Choice B, Photon, is incorrect as photons are chargeless particles of light. Choice D, Neutrino, is incorrect as neutrinos are neutral particles with minimal mass and weak interactions with matter, not involved in mediating the strong nuclear force between protons and neutrons.

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