QuestionHow many protons (p), neutrons (n), and electrons (e) are in the isotope $^{133} \mathrm{Cs}$ ? A) $55 p, 55 n, 55 e$ B) $55 p, 78 n, 55 e$ C) $133 p, 133 n, 133 e$ D) $55 p, 133 n, 55 e$ E) $133 p, 55 n, 55 e$

Studdy Solution

STEP 1

Assumptions1. The atomic number (Z) of an atom represents the number of protons in the nucleus. . The mass number (A) of an atom is the sum of the number of protons and neutrons in the nucleus.
3. In a neutral atom, the number of electrons is equal to the number of protons.

STEP 2

The isotope is represented as ${ }^{133} \mathrm{Cs}$ , where133 is the mass number (A) and Cs is the symbol for Cesium, which has an atomic number (Z) of55.

STEP 3

The number of protons in an atom is equal to its atomic number (Z). So, for ${ }^{133} \mathrm{Cs}$ , the number of protons is55.
$p = Z =55$

STEP 4

The mass number (A) of an atom is the sum of the number of protons (p) and neutrons (n). So, for ${ }^{133} \mathrm{Cs}$ , we can find the number of neutrons by subtracting the number of protons from the mass number.
$n = A - p$

STEP 5

Plug in the values for the mass number and the number of protons to calculate the number of neutrons.
$n =133 -55$

STEP 6

Calculate the number of neutrons.
$n =133 -55 =78$

STEP 7

In a neutral atom, the number of electrons is equal to the number of protons. So, for ${ }^{133} \mathrm{Cs}$ , the number of electrons is also55.
$e = p =55$ So, the atom of the isotope ${ }^{133} \mathrm{Cs}$ contains55 protons,78 neutrons, and55 electrons, which corresponds to option B.

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QuestionHow many protons (p), neutrons (n), and electrons (e) are in the isotope $^{133} \mathrm{Cs}$ ? A) $55 p, 55 n, 55 e$ B) $55 p, 78 n, 55 e$ C) $133 p, 133 n, 133 e$ D) $55 p, 133 n, 55 e$ E) $133 p, 55 n, 55 e$

Studdy Solution

STEP 1

Assumptions1. The atomic number (Z) of an atom represents the number of protons in the nucleus. . The mass number (A) of an atom is the sum of the number of protons and neutrons in the nucleus.
3. In a neutral atom, the number of electrons is equal to the number of protons.

STEP 2

The isotope is represented as ${ }^{133} \mathrm{Cs}$ , where133 is the mass number (A) and Cs is the symbol for Cesium, which has an atomic number (Z) of55.

STEP 3

The number of protons in an atom is equal to its atomic number (Z). So, for ${ }^{133} \mathrm{Cs}$ , the number of protons is55.
$p = Z =55$

STEP 4

The mass number (A) of an atom is the sum of the number of protons (p) and neutrons (n). So, for ${ }^{133} \mathrm{Cs}$ , we can find the number of neutrons by subtracting the number of protons from the mass number.
$n = A - p$

STEP 5

Plug in the values for the mass number and the number of protons to calculate the number of neutrons.
$n =133 -55$

STEP 6

Calculate the number of neutrons.
$n =133 -55 =78$

STEP 7

In a neutral atom, the number of electrons is equal to the number of protons. So, for ${ }^{133} \mathrm{Cs}$ , the number of electrons is also55.
$e = p =55$ So, the atom of the isotope ${ }^{133} \mathrm{Cs}$ contains55 protons,78 neutrons, and55 electrons, which corresponds to option B.

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Studdy Solution

STEP 1

Assumptions1. The atomic number (Z) of an atom represents the number of protons in the nucleus. . The mass number (A) of an atom is the sum of the number of protons and neutrons in the nucleus.3. In a neutral atom, the number of electrons is equal to the number of protons.

STEP 2

The isotope is represented as 133Cs{ }^{133} \mathrm{Cs}133Cs, where133 is the mass number (A) and Cs is the symbol for Cesium, which has an atomic number (Z) of55.

STEP 3

The number of protons in an atom is equal to its atomic number (Z). So, for 133Cs{ }^{133} \mathrm{Cs}133Cs, the number of protons is55.p=Z=55p = Z =55p=Z=55

STEP 4

The mass number (A) of an atom is the sum of the number of protons (p) and neutrons (n). So, for 133Cs{ }^{133} \mathrm{Cs}133Cs, we can find the number of neutrons by subtracting the number of protons from the mass number.n=A−pn = A - pn=A−p

STEP 5

Plug in the values for the mass number and the number of protons to calculate the number of neutrons.n=133−55n =133 -55n=133−55

STEP 6

Calculate the number of neutrons.n=133−55=78n =133 -55 =78n=133−55=78

STEP 7

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Assumptions1. The atomic number (Z) of an atom represents the number of protons in the nucleus. . The mass number (A) of an atom is the sum of the number of protons and neutrons in the nucleus.
3. In a neutral atom, the number of electrons is equal to the number of protons.

The isotope is represented as ${ }^{133} \mathrm{Cs}$ , where133 is the mass number (A) and Cs is the symbol for Cesium, which has an atomic number (Z) of55.

The number of protons in an atom is equal to its atomic number (Z). So, for ${ }^{133} \mathrm{Cs}$ , the number of protons is55.
$p = Z =55$

The mass number (A) of an atom is the sum of the number of protons (p) and neutrons (n). So, for ${ }^{133} \mathrm{Cs}$ , we can find the number of neutrons by subtracting the number of protons from the mass number.
$n = A - p$

Plug in the values for the mass number and the number of protons to calculate the number of neutrons.
$n =133 -55$

Calculate the number of neutrons.
$n =133 -55 =78$