In CO2, the oxidation state of carbon is +4.

In C2O4^2-, the oxidation state of carbon is +3.

The series is a geometric series with a common ratio of 2. The 5th term is 2 * 2^4 = 32.

Each term is obtained by multiplying the previous term by 2, indicating a multiplication pattern.

The differences are 3, 5, 7, which are increasing by 2 each time.

The pattern is to add consecutive odd numbers: 2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17. The next term is 17 + 9 = 26.

The mode is 30, as it appears 3 times, more than any other number.

The mode is 8, as it appears 3 times, which is more than any other number.

The mode is 4, as it appears 3 times, more than any other number.

The mode is 5, as it appears 2 times, while 8 also appears 2 times. However, 5 is the smallest mode.

'a' accounts for the attractive forces between molecules, while 'b' accounts for the volume occupied by the gas molecules.

An adiabatic process is one in which no heat is transferred to or from the system, meaning it occurs without heat exchange.

Enthalpy is defined as the heat content of a system at constant pressure, represented as H = U + PV.

In thermodynamics, the 'system' refers to the part of the universe that is being studied, while the surroundings are everything else.

The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another.

The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another.

Enthalpy (H) represents the heat content of the system at constant pressure, defined as H = U + PV.

Enthalpy is defined as H = U + PV, where U is internal energy, P is pressure, and V is volume.

When light reflects off a denser medium, it undergoes a phase change of π (180 degrees).

A phase change of π occurs when a wave reflects off a denser medium.

As the thickness of the film increases, the path difference changes, leading to a change in the observed colors due to interference.

All these factors can affect the path difference and thus shift the interference pattern in thin film interference.

While thickness, wavelength, and angle of incidence affect the interference pattern, the color of the light source does not directly affect the pattern itself.

Using Heron's formula, s = (7 + 24 + 25)/2 = 28. Area = √[s(s-a)(s-b)(s-c)] = √[28(28-7)(28-24)(28-25)] = √[28*21*4*3] = 84.

Using the Law of Cosines: BC² = AB² + AC² - 2 * AB * AC * cos(A) = 10² + 6² - 2 * 10 * 6 * (√3/2) = 100 + 36 - 60√3. BC = √(100 + 36 - 60√3) ≈ 7 cm.

Using the Pythagorean theorem, 7^2 + 24^2 = 49 + 576 = 625 = 25^2, so triangle ABC is a right triangle.

Using Heron's formula, the semi-perimeter s = (7 + 24 + 25)/2 = 28. Area = √[s(s-a)(s-b)(s-c)] = √[28(28-7)(28-24)(28-25)] = √[28*21*4*3] = 84 cm².

Semi-perimeter s = (AB + AC + BC) / 2 = (8 + 6 + 10) / 2 = 12.

In an isosceles triangle, angles opposite to equal sides are equal. Therefore, angle B = angle C = (180 - 40) / 2 = 70 degrees.

The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (30 + 60) = 90 degrees.