Effectiveness
Sensible effectiveness is the fraction of the indoor to outdoor temperature difference that the core recovers. Supply temperature = T outdoor + effectiveness x (T indoor minus T outdoor). With 0 °C outside, 21 °C inside and 70 percent effectiveness, fresh air arrives at about 14.7 °C.
Recovered power is air mass flow times specific heat times the temperature rise of the fresh air, using 1.2 kg/m³ and 1.006 kJ/kg·K. This model treats sensible heat only and ignores the moisture an ERV core also exchanges, so it understates savings in humid weather.
Why tight houses need them
Modern homes are sealed so well that they need mechanical ventilation for healthy indoor air. Balanced ventilation with energy recovery provides that fresh air while keeping most of the heating and cooling energy indoors.