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The gas which is supplied to the heating system in a flat has 400 kJ of chemical potential energy.  Of this, 320 kJ is transferred to the thermal store of the fluid inside the radiators in the flat.  Calculate the efficiency of the heating system.

Question

The gas which is supplied to the heating system in a flat has 400 kJ of chemical potential energy.  Of this, 320 kJ is transferred to the thermal store of the fluid inside the radiators in the flat.  Calculate the efficiency of the heating system.

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Solution

The efficiency of a system can be calculated using the formula:

Efficiency = (Useful energy output / Total energy input) * 100%

In this case, the useful energy output is the energy transferred to the thermal store of the fluid inside the radiators, which is 320 kJ. The total energy input is the chemical potential energy of the gas supplied to the heating system, which is 400 kJ.

So, the efficiency of the heating system is:

Efficiency = (320 kJ / 400 kJ) * 100% = 80%

Therefore, the efficiency of the heating system is 80%.

This problem has been solved

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