/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 14 Which of the following nuclei ha... [FREE SOLUTION] | 91Ó°ÊÓ

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Which of the following nuclei has 3 more neutrons than protons? (Remember: The number before the symbol indicates atomic mass.) (A) 11 \(\mathrm{B}\) (B) 37 \(\mathrm{Cl}\) (C) 24 \(\mathrm{Mg}\) (D) 70 \(\mathrm{Ga}\)

Short Answer

Expert verified
The nucleus which has 3 more neutrons than protons is \(37Cl\) - option (B).

Step by step solution

01

Calculate Neutrons in each Nucleus

For each of the nuclei given in the options, subtract the number of protons from the total atomic mass to get the number of neutrons. The atomic number (which is also the number of protons) of each element is: \(B\) - 5, \(Cl\) - 17, \(Mg\) - 12, \(Ga\) - 31. So number of neutrons for each are: \(11B\) - 6, \(37Cl\) - 20, \(24Mg\) - 12, \(70Ga\) - 39.
02

Calculate Difference between Neutrons and Protons

Subtract the number of protons from the calculated number of neutrons for each element to confirm which has exactly 3 more neutrons than protons. The difference for each are: \(11B\) - 1, \(37Cl\) - 3, \(24Mg\) - 0, \(70Ga\) - 8.
03

Choose the Correct Nucleus

The nucleus which has exactly 3 more neutrons than protons is \(37Cl\). Therefore, the correct choice is option (B).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Atomic Structure
Understanding atomic structure is crucial in chemistry. It forms the basis for everything, from the elements on the periodic table to complex chemical reactions. Atoms are made up of three major parts: protons, neutrons, and electrons.
  • Protons are positively charged particles found in the nucleus. The number of protons defines the element and is represented by the atomic number.
  • Neutrons are neutral particles, meaning they have no charge. They also reside in the nucleus and contribute to the atom's mass.
  • Electrons are negatively charged and orbit the nucleus in electron clouds or shells.
The atomic mass of an atom is the sum of its protons and neutrons. Electrons have a negligible mass and do not significantly affect the atomic mass. This composition of the atom is fundamental in determining the chemical behavior of an element, as well as its stability and isotope formation.
Neutrons and Protons Calculation
To solve problems involving the calculation of neutrons and protons, start by understanding the terms clearly:- **Protons:** Represented by the atomic number of the element, found on the periodic table.- **Neutrons:** Calculated by subtracting the number of protons from the atomic mass.Let's consider an example using chlorine, \(^{37}Cl\). The atomic number (number of protons) for chlorine is 17. Given its atomic mass as 37, we find the number of neutrons as follows:\[\text{Number of neutrons} = \text{atomic mass} - \text{number of protons} = 37 - 17 = 20.\]In practice:
  • The atomic mass number tells you the sum of protons and neutrons.
  • To find the neutrons, use the atomic number to determine the protons, then subtract from the atomic mass.
Estimating this helps you solve exercises related to the structure and characteristics of atoms. It's important to distinguish between the two types of particles, as both play critical roles in the identity and mass of an element.
Isotopes
Isotopes are different forms of the same element. They have the same number of protons but differ in neutrons. This difference in neutron count can affect the atomic mass and sometimes the stability of the element.
  • Isotopes retain the element's chemical identity as their proton number remains unchanged.
  • The atomic mass varies due to the additional or fewer neutrons.
For example, Carbon has isotopes like \(^{12}C\) and \(^{14}C\), where both have 6 protons but different numbers of neutrons, 6 and 8 respectively. These isotopes can create variations in weight and help in processes like carbon dating.In the exercise, assessing isotopes involves comparing the neutron-to-proton difference. Chlorine was identified with the nucleus \(^{37}Cl\) having 3 more neutrons than protons. This characteristic is typical of isotopic variations where the neutron count affects mass and potentially stability but not the chemical properties.

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Most popular questions from this chapter

A gas sample with a mass of 10 grams occupies 5.0 liters and exerts a pressure of 2.0 atm at a temperature of \(26^{\circ} \mathrm{C} .\) Which of the following expressions is equal to the molecular mass of the gas? The gas constant, \(R,\) is \(0.08(\mathrm{L} \times \mathrm{atm}) / \mathrm{mol} \times \mathrm{K}\) ). (A) \((0.08)(299) \mathrm{g} / \mathrm{mol}\) (B) \(\frac{(299)(0.50)}{(2.0)(0.08)} \mathrm{g} / \mathrm{mol}\) (C) \(\frac{299}{0.08} \mathrm{g} / \mathrm{mol}\) (D) \((2.0)(0.08) \mathrm{g} / \mathrm{mol}\)

Which of the following could be added to an aqueous solution of weak acid HF to increase the percent dissociation? (A) \(\operatorname{NaF}(s)\) (B) \(\mathrm{H}_{2} \mathrm{O}(l)\) (C) \(\mathrm{NaOH}(\mathrm{s})\) (D) \(\mathrm{NH}_{3}(a q)\)

A bottle of water is left outside early in the morning. The bottle warms gradually over the course of the day. What will happen to the pH of the water as the bottle warms? (A) Nothing; pure water always has a pH of 7.00. (B) Nothing; the volume would have to change in order for any ion concentration to change. (C) It will increase because the concentration of \(\left[\mathrm{H}^{+}\right]\) is increasing. (D) It will decrease because the auto-ionization of water is an endothermic process.

Nitrogen’s electronegativity value is between those of phosphorus and oxygen. Which of the following correctly describes the relationship between the three values? (A) The value for nitrogen is less than that of phosphorus because nitrogen is larger, but greater than that of oxygen because nitrogen has a greater effective nuclear charge. (B) The value for nitrogen is less than that of phosphorus because nitrogen has fewer protons, but greater than that of oxygen because nitrogen has fewer valence electrons. (C) The value for nitrogen is greater than that of phosphorus because nitrogen has fewer electrons, but less than that of oxygen because nitrogen is smaller. (D) The value for nitrogen is greater than that of phosphorus because nitrogen is smaller, but less than that of oxygen because nitrogen has a smaller effective nuclear charge.

An electron from which peak would have the greatest velocity after ejection? (A) The peak at 104 \(\mathrm{MJ} / \mathrm{mol}\) (B) The peak at 6.84 \(\mathrm{MJ} / \mathrm{mol}\) (C) The peak at 4.98 \(\mathrm{MJ} / \mathrm{mol}\) (D) The peak at 1.76 \(\mathrm{MJ} / \mathrm{mol}\)

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