State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.
Scalar quantities: Volume, Mass, Speed, Density, Number of moles, Angular frequency. Vector quantities: Acceleration, Velocity, Displacement, Angular velocity.
Explanation
The provided context defines scalar quantities as those having magnitude only (such as mass and speed) and vector quantities as those having both magnitude and direction (such as displacement, velocity, and acceleration). Applying these definitions, volume, density, number of moles, and angular frequency are classified as scalars because they are specified completely by magnitude alone. Conversely, acceleration, velocity, displacement, and angular velocity are classified as vectors because they require both magnitude and direction for their complete specification.