The car consumes the mass m = 11.4 kg of gasoline per 100 km. Find the engine power if the speed is v = 72 km / h

| August 26, 2021 | education

The car consumes the mass m = 11.4 kg of gasoline per 100 km. Find the engine power if the speed is v = 72 km / h and the engine efficiency is 22%. Specific heat of combustion of gasoline q = 45 MJ / kg.

Data: m (mass of consumed gasoline) = 11.4 kg; S (distance traveled) = 100 km (100 * 10 ^ 3 m); V (travel speed) = 72 km / h (20 m / s); η (motor efficiency) = 22% (0.22).

Constants: according to the condition q (specific heat of combustion of gasoline) = 45 MJ / kg (45 * 10 ^ 6 J / kg).

The engine power is determined from the formula for calculating the efficiency: η = Ap / Qz = N * t / (q * m) = N * S / (q * m * V), whence N = q * m * V * η / S.

N = 45 * 10 ^ 6 * 11.4 * 20 * 0.22 / (100 * 10 ^ 3) = 22 572 W.

Answer: The motor power is 22,572 W.



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