The rate law expression is derived directly from the rate equation, which is given as rate = k[A]^2[B].

The real part of 5 - 7i is 5.

The real part is 2 * cos(π/3) = 2 * 1/2 = 1.

The real part is Re(z) = 4 * cos(π/3) = 4 * 1/2 = 2.

The real part of z = 5 - 2i is 5.

The real part of z = 5 - 4i is 5.

The real part of z = 5 - 6i is 5.

The real part is Re(z) = 5cos(π/3) = 5 * 1/2 = 5/2.

C2O4^2- is the reducing agent as it donates electrons.

Zinc (Zn) is the reducing agent as it donates electrons to copper.

The correct reduction half-reaction in acidic medium is MnO4- + 8H+ + 5e- → Mn2+ + 4H2O.

The correct reduction half-reaction shows the gain of electrons and protons.

The reduction half-reaction is Cu^2+ + 2e^- → Cu.

In acidic medium, MnO4- is reduced to Mn2+.

Using the formula n = 1/sin(θc), where θc = 30°, we find n = 1/sin(30°) = 1/0.5 = 2.00.

Using sin(30°) = 0.5, n = 1/sin(30°) = 1/0.5 = 2. Therefore, the refractive index is 2.

Angular momentum L is given by L = Iω, where ω is the angular velocity.

Bulk modulus is defined as the reciprocal of compressibility, indicating how incompressible a material is.

The relationship is K = C + 273.15, where K is the temperature in Kelvin and C is the temperature in Celsius.

The magnetic field around a long straight conductor is directly proportional to the current flowing through it.

Ohm's Law defines the relationship between current (I), voltage (V), and resistance (R) as V = IR.

The electric field E is the negative gradient of the electric potential V, given by E = -dV/dr.

The electric field E is the negative gradient of the electric potential V, given by E = -dV/dx.

In a uniform electric field, the relationship is given by E = -dV/dx, indicating that the electric field points in the direction of decreasing potential.

The electric field is the negative gradient of the electric potential, E = -dV/dx.

The electric field just outside a charged conductor is given by E = σ/ε₀.

In a uniform electric field, the electric potential difference V is given by V = E × d, where d is the distance moved in the direction of the field.

The electric field E is the negative gradient of the electric potential V, expressed as E = -dV/dx.

The relationship is given by H = U + PV, where H is enthalpy, U is internal energy, and PV is the pressure-volume work.

The relationship is given by H = U + PV, where H is enthalpy, U is internal energy, P is pressure, and V is volume.