Radius is half of the diameter. Therefore, radius = 14 cm / 2 = 7 cm.

For a first-order reaction, k = 0.693 / t₁/₂. Here, t₁/₂ = 10 min, so k = 0.693 / 10 = 0.0693 min⁻¹.

For a first order reaction, the rate law is directly proportional to the concentration of the reactant, hence Rate = k[A].

The rate law for a reaction is determined by the order with respect to each reactant. For a first order with respect to A and second order with respect to B, the rate law is Rate = k[A][B]^2.

For a second order reaction with respect to A, the rate law is expressed as Rate = k[A]^2.

The rate law is determined by the order of the reaction with respect to each reactant. For first order in A and second order in B, the rate law is Rate = k[A][B]^2.

For a second order reaction with respect to A, the rate law is expressed as Rate = k[A]^2.

The real part of the complex number 4 + 5i is 4.

The real part of the complex number 7 - 4i is 7.

The standard reduction potential for 2H⁺ + 2e⁻ → H₂ is 0.00 V.

The relationship is ΔG = -nFE, where n is the number of moles of electrons transferred.

The period T is the reciprocal of frequency f, given by T = 1/f.

According to the Arrhenius equation, the rate of reaction increases exponentially with temperature.

1 Joule is defined as the work done when a force of one Newton moves an object one meter, hence 1 J = 1 N·m.

The angle of diffraction is directly proportional to the wavelength of light used in a diffraction grating, as described by the grating equation.

The angle of diffraction is inversely proportional to the wavelength; as the wavelength increases, the angle of diffraction decreases.

Using Ohm's law (R = V/I), R = 25V / 5A = 5Ω.

(15 + 5) = 20, then 20 × 2 = 40.

(15 + 5) = 20, so 20 × 2 = 40.

15 ÷ 3 = 5, then 5 × 4 = 20.

A tetrahedral geometry has a central atom bonded to four other atoms, forming a shape like a pyramid with a triangular base.

Methane (CH4) has a tetrahedral shape due to the four pairs of bonding electrons around the central carbon atom.

The s orbital has a spherical shape.

The SI unit of electric charge is Coulomb (C).

The Rydberg constant is used to calculate the wavelengths of spectral lines in hydrogen and other hydrogen-like atoms.

The wave function provides the probability distribution of a particle's position.

Acetone (CH3COCH3) is the simplest ketone.

Slope = (6-2)/(3-1) = 4/2 = 2.

The slope of the line 3x + 4y = 12 is -3/4. The slope of the perpendicular line is the negative reciprocal, which is 4/3.

The slope of the line is -2 (from y = -2x + 4). The slope of the perpendicular line is the negative reciprocal, which is 1/2.