Solids, Liquids and Gases

4 marks · Easy

An aquarium is filled to a depth of 0.5 m with water of density 1000 kg/m³. The gravitational field strength is 10 N/kg.

(a)

State the equation for the pressure difference due to a liquid column, using symbols.

[1 mark]

(b)

Calculate the pressure at the bottom of the aquarium due to the water.

[3 marks]

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

(a) p = h × ρ × g

(b) 5000 Pa

Show mark scheme and worked solution

Marking points

B1 (a) · 1 mark · States correct formula: p = h × ρ × g.

M1 (b) · 1 mark · Substitutes correct values into formula. (follow-through)

M2 (b) · 1 mark · Performs multiplication: 0.5 × 1000 × 10. (follow-through)

A1 (b) · 1 mark · Final answer with unit. (follow-through)

Worked solution

a) The equation is p = h × ρ × g.

b) p = 0.5 × 1000 × 10 = 5000 Pa.