How many kilograms of water can be heated by 100 degrees by the amount of heat released when

How many kilograms of water can be heated by 100 degrees by the amount of heat released when 200 g of kerosene is heated?

To determine the mass of water heated by burning kerosene, we use the equality: Cw * mw * Δt = mk * qk, whence mw = mk * qk / (Cw * Δt).

Variables and constants: mk is the mass of consumed kerosene (mk = 200 g = 0.2 kg); qк – specific heat of combustion of kerosene (qк = 4.6 * 10 ^ 7 J / kg); Sv – specific heat of water (Sv = 4200 J / (kg * K)); Δt – change (increase) in water temperature (Δt = 100 ºС).

Calculation: mw = mk * qk / (Cw * Δt) = 0.2 * 4.6 * 10 ^ 7 / (4200 * 100) = 21.9 kg ≈ 22 kg.