Physics 5054 · O Level · Specific heat capacity

Specific heat capacity — practice question

Fig. 2.1 shows a small swimming pool filled with water. The pool measures 2.1 m by 4.0 m. The water depth in the pool is $0.80\,\text{m}$. The density of water is $1000\,\text{kg m}^{-3}$.
(a(i))[2]

Demonstrate that the mass of water in the pool is about $6700\,\text{kg}$.

(a(ii))[1]

What is meant by ‘pressure’?

(a(iii))[2]

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

(a(iv))[3]

The water in the pool starts at $10\,^{\circ}\text{C}$. Its temperature rises when $5.1 \times 10^{8}\,\text{J}$ of energy is transferred to the water. The specific heat capacity of water is $4200\,\text{J (kg }^{\circ}\text{C)}^{-1}$. Calculate the final temperature of the water.

(b(i))[2]

Explain, in terms of particle motion, how evaporation leads to cooling.

(b(ii))[1]

Changes to environmental factors around the swimming pool can increase or decrease how much evaporation occurs from the water surface. State two changes to environmental factors that increase the amount of evaporation from the surface of the water.

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