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Thus, the fourth shell can hold a maximum of 32 electrons $2 \times 16 = 32$ electrons. This is because the fourth shell consists of four types of subshells

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The total number of electrons that can reside in these subshells adds up to 32 Multiply by 2 to find the maximum number of electrons Therefore, the correct answer is option c

In my textbook, it says that the maximum number of electrons that can fit in any given shell is given by 2n²

This would mean 2 electrons could fit in the first shell, 8 could fit in the second shell, 18 in the third shell, and 32 in the fourth shell. Can hold up to 32 electrons These numbers follow the formula 2 n 2, where n is the shell number (1 for the first shell, 2 for the second, and so on) Keep in mind that in many cases, especially for lighter elements, not all these slots are filled.

Use the formula $$2n^ {2}$$2n2 to determine the maximum number of electrons that can occupy a shell with principal quantum number $$n$$n. Substitute $$n=4$$n=4 into the formula: $$2 (4)^ {2} = 2 (16) = 32$$2(4)2=2(16)=32. Following this trend, the fourth shell ($n=4$) has a maximum capacity of 32 electrons ($2 (4)^2$) This rule provides the foundational concept for understanding how electrons are distributed across the energy levels. Determine the formula for electron capacity<br /> The maximum number of electrons in a shell is given by **$2n^2$**.<br />2. Calculate using $n=4$<br /> Substitute $n=4$ into the formula: $2 (4)^2 = 2 \times 16 = 32$.