The heat of fusion is the energy required to change a substance from solid to liquid.

Desorption energy is the energy required to separate an adsorbate from an adsorbent.

The maximum amount of solute that can be adsorbed on a surface is referred to as the adsorption capacity.

Adsorption is the process where a solid attracts and holds molecules of a liquid or gas on its surface.

Using the formula Q = kA(T1-T2)t, we find k = Q / (A(T1-T2)t) = 100 J / (1 m² * 20°C * 10 s) = 0.5 W/m°C.

Total resistance R = 5Ω + 5Ω = 10Ω; I = V/R = 15V / 10Ω = 1.5A.

Z = √(R² + Xl²) = √(20² + 30²) = √(400 + 900) = √1300 = 36.06 ohms. I = V/Z = 240/36.06 = 6.66 A.

In a parallel circuit, the total current (I_total) is the sum of the currents in each branch: I_total = 3A + 5A = 8A.

Total current in parallel = I1 + I2 = 5A + 3A = 8A.

At the highest point of a projectile's trajectory, the kinetic energy is minimum (zero at the peak) and potential energy is maximum, thus total mechanical energy is maximum potential energy.

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

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.

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

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

The unit of electric charge is Coulomb (C).

The unit of electrical conductivity is Siemens (S).

The unit of the rate constant for a first-order reaction is s⁻¹.

The SI unit of work is Joule (J).

Magnesium has a valency of 2, as it can lose two electrons.

Oxygen has a valency of 2, as it needs two electrons to complete its outer shell.

(1 + i)(1 - i) = 1^2 - i^2 = 1 - (-1) = 1 + 1 = 2.

Using BODMAS: (2 + 3) = 5 and (4 - 1) = 3, so 5 × 3 = 15.

Multiply numerator and denominator by the conjugate of the denominator: (2 + 3i)(1 - i) / (1 + i)(1 - i) = (2 - 2i + 3i + 3) / (1 + 1) = (5 + i) / 2 = 2.5 + 0.5i.

Using the difference of squares: (a + b)(a - b) = a² - b². Here, (2)² - (3i)² = 4 - (-9) = 4 + 9 = 13.

Using the binomial theorem, (2 - 3)^5 = (-1)^5 = -1.

Multiplying numerator and denominator by the conjugate of the denominator: (3 + 4i)(1 - i) / (1 + i)(1 - i) = (3 - 3i + 4i + 4) / 2 = (7 + i) / 2 = 2 + i.

(3 + 5) = 8 and (2 + 4) = 6, so 8 × 6 = 48.

(3 + 5) = 8 and (2 - 1) = 1, so 8 × 1 = 8.

(3 + 5) × 2 = 8 × 2 = 16.