Area of sector = (θ/360) * πr² = (90/360) * π * 7² = 38.5 cm².

Area = 1/2 * base * height = 1/2 * 10 * 5 = 25 cm².

Area of base = πr² = π(3²) = 9π square units.

Area of base = πr² = π(4)² = 16π square units.

The argument of -1 + 0i is π (180 degrees) since it lies on the negative x-axis.

The atomic mass of Oxygen is approximately 16 u.

The atomic mass of Sodium (Na) is approximately 22.99 u.

The atomic number of Carbon is 6, which is the number of protons in its nucleus.

The atomic number of Oxygen is 8.

Proteins are made up of amino acids, which are their basic building blocks.

The boiling point of water at standard atmospheric pressure is 100°C.

The boiling point of alcohols increases with molecular weight due to stronger hydrogen bonding.

Primary amines have higher boiling points than secondary and tertiary amines due to stronger hydrogen bonding.

Alcohols have higher boiling points than alkanes due to hydrogen bonding.

Amines have higher boiling points than alkanes due to hydrogen bonding.

Carboxylic acids have higher boiling points than alcohols due to stronger hydrogen bonding.

Primary amines have higher boiling points due to stronger hydrogen bonding compared to secondary and tertiary amines.

The bond angle in methane (CH4) is approximately 109.5 degrees due to its tetrahedral geometry.

C = Q/V = 10 × 10^-6 C / 5 V = 2 × 10^-6 F = 2 µF.

Capacitive reactance Xc = 1 / (2πfC) = 1 / (2π * 60 * 10e-6) = 265.26Ω.

Xc = 1 / (2πfC) = 1 / (2π × 50 × 10 × 10^-6) = 318.31 ohms.

The standard cell potential of a Daniell cell is 1.10 V.

Using the Nernst equation, E = E° - (RT/nF)lnQ, we find E ≈ 1.0 V.

For an isothermal process, the change in internal energy ΔU = 0 for an ideal gas.

For an isothermal process, the change in internal energy (ΔU) for an ideal gas is zero, as ΔU depends only on temperature.

Using the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Using the first law of thermodynamics: ΔU = Q - W = 300 J - 100 J = 200 J.

In an isothermal process for an ideal gas, the internal energy remains constant, hence the change in internal energy is zero.

At constant volume, the change in internal energy (ΔU) is equal to the heat added (Q). Therefore, ΔU = Q.

The chemical formula for sodium chloride is NaCl.