8463/1H June 2020

Coach Name: Sir Muhammad Abdullah Shah

3.​​ Figure 4​​ shows a hydroelectric power station.

Electricity is generated when water from the reservoir flows through the turbines.​​ 

i-​​ Write down the equation which links density (ρ), mass (m) and volume (V).​​ 

[1 mark]

ANSWER

ρ=mV

ii-​​ The reservoir stores 6 500 000 m3​​ of water.​​ 

The density of the water is 998 kg/m3​​ .​​ 

Calculate the mass of water in the reservoir.​​ 

Give your answer in standard form.​​ 

[4 marks]

SOLUTION​​ 

ρ=mV 

m=p×v

m=989 ×6500 000

m=6.487 ×109 kg

iii-​​ Write down the equation which links energy transferred (E), power (P) and time (t).

[1 mark]

ANSWER

E=P ×t

iv-​​ The electrical generators can provide 1.5 × 109 W of power for a maximum of 5 hours.​​ 

Calculate the maximum energy that can be transferred by the electrical generators.​​ 

[3 marks]

SOLUTION​​ 

E=p ×t

Don’t forget to change time form hours to seconds. For that multiply 5 hrs by 60 minutes and 60 seconds. So time would be 5x60x60=180000 seconds.​​ 

E=1.5 ×109 ×180000

E=2.7 ×103 J

v-​​ Figure 5​​ shows how the UK demand for electricity increases and decreases during one day.

The hydroelectric power station in Figure 4 can provide 1.5 × 109 W of power for a​​ maximum of 5 hours.

Give two reasons why this hydroelectric power station is not able to meet the increase​​ in demand shown between 04:00 and 16:00 in​​ Figure 5.

[2 marks]

ANSWER

  • It cannot provide energy required between 04:00 and 16:00 ​​ as demand is higher than 1.5×109​​ W.

  • Hydroelectric power station can only provide for 5 hours not 12 hours, whereas the demand remains high for longer than 5 hrs.​​