The total number of electrons is 36 (from Kr) + 2 (from 5s2) + 10 (from 4d10) + 5 (from 5p5) = 53.

Moles = Molarity * Volume = 3 mol/L * 2 L = 6 moles.

The decomposition reaction is CaCO3 → CaO + CO2. This produces 1 mole of CaO and 1 mole of CO2, totaling 2 moles of gas.

The decomposition of CaCO3 produces CaO and CO2: CaCO3 → CaO + CO2. This results in 1 mole of gas (CO2) being produced.

The total number of orbitals in an energy level is given by n^2. For n=2, it is 2^2 = 4.

The n=2 shell has 4 orbitals: 1s and 3p orbitals.

The total number of orbitals in the n=3 level is given by n^2 = 3^2 = 9.

The total number of orbitals in an energy level is given by n^2. For n=4, it is 4^2 = 16.

The total number of orbitals in a shell is given by n^2. For n=4, it is 4^2 = 16.

Four quantum numbers (n, l, m_l, s) are required to completely describe an electron in an atom.

The empty set has exactly one subset, which is itself: ∅.

The total number of subsets is 2^5 = 32.

The total number of terms is n + 1 = 6 + 1 = 7.

Power P = V^2/R = (12V)^2/4Ω = 36W.

Power (P) = I^2 * R = 5^2 * 4 = 25 * 4 = 100W.

Total resistance R = 10Ω + 10Ω = 20Ω. Power P = V²/R = 20² / 20 = 20W.

Total resistance R = 5Ω + 5Ω = 10Ω; Power P = V²/R = 30²/10 = 90W.

Total power P = P1 + P2 = 5 D - 3 D = 2 D.

In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.

In series, total resistance (R_total) = R1 + R2 = 10Ω + 5Ω = 15Ω.

1/R_eq = 1/12 + 1/4 => R_eq = 3 ohms.

In series, total resistance R_total = R1 + R2 = 12Ω + 4Ω = 16Ω.

In a series circuit, total resistance (R_total) is the sum of individual resistances: R_total = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω.

Total resistance R = R1 + R2 = 3Ω + 5Ω = 8Ω.

1/R_eq = 1/R1 + 1/R2 = 1/10 + 1/10 = 2/10. Thus, R_eq = 10/2 = 5 ohms.

In series, R_eq = R1 + R2 = 10 + 10 = 20 ohms.

1/R_eq = 1/R1 + 1/R2 = 1/12 + 1/12 = 2/12. Thus, R_eq = 12/2 = 6 ohms.

In series, R_eq = R1 + R2 = 8 + 8 = 16Ω.

For parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6. Finding a common denominator gives R_eq = 2.4Ω.

1/R_eq = 1/5 + 1/10 => R_eq = 3.33 ohms.