Solution:

Hint: To determine whether a physical quantity is a scalar or a vector, you need to consider whether it has both magnitude and direction.

Step-by-step Solution:

Scalar quantities:

Volume: Scalar quantity because it only has magnitude (e.g., 1 cubic meter).

Mass: Scalar quantity because it only has magnitude (e.g., 1 kilogram).

Speed: Scalar quantity because it only has magnitude (e.g., 10 meters per second).

Density: Scalar quantity because it only has magnitude (e.g., 1000 kilograms per cubic meter).

Number of moles: Scalar quantity because it only has magnitude (e.g., 1 mole).

Vector quantities:

Velocity: Vector quantity because it has both magnitude and direction (e.g., 10 meters per second to the north).

Acceleration: Vector quantity because it has both magnitude and direction (e.g., 9.8 meters per second squared down).

Angular frequency: Vector quantity because it has both magnitude and direction (e.g., 10 radians per second clockwise).

Displacement: Vector quantity because it has both magnitude and direction (e.g., 10 meters to the north).

Angular velocity: Vector quantity because it has both magnitude and direction (e.g., 10 radians per second clockwise).

Answer:

Scalar quantities: volume, mass, speed, density, number of moles

Vector quantities: velocity, acceleration, angular frequency, displacement, angular velocity

Note: Some physical quantities can be both scalar and vector, depending on how they are measured. For example, temperature is a scalar quantity, but temperature gradient is a vector quantity. Similarly, work is a scalar quantity, but power is a vector quantity.