Question

Двигатель израсходовал 6 кг керосина за 2 ч. Какова мощность этого двигателя, если его КПД равен 25%?

Answer 1

Дано: 
$m=6 \ _K_\Gamma \\ t=2 \ \iota|=7200 \ ce_K$
$q=4,6\cdot 10^7$ Дж/кг
η = 25% = 0,25
Найти:
$N= \ ?$
Решение:
КПД $\eta= \frac{A}{Q_H}$ где
$A=N\cdot t$ - полезная работа (Дж)
$Q_H=q\cdot m$ - теплота переданная от нагревателя (Дж)
Тогда: $\eta= \frac{N\cdot t}{q\cdot m}$ откуда искомая мощность:
$N= \frac{q\cdot m\cdot \eta}{t} = \frac{4,6\cdot 10^7\cdot 6\cdot 0,25}{7200}= 9583,33 \ (B_T)$

Answer 2

Calculating the Power of the Engine

To calculate the power of the engine, we can use the formula:

Power = Energy Output / Time

In this case, the energy output is the energy released by burning 6 kg of kerosene, and the time is 2 hours.

Given that the efficiency (η) of the engine is 25%, we can calculate the power using the following steps:

1. Calculate the energy input. 2. Calculate the energy output. 3. Calculate the power using the energy output and time.

Step 1: Calculate the Energy Input

The energy input can be calculated using the formula:

Energy Input = Energy Output / Efficiency

Step 2: Calculate the Energy Output

The energy output can be calculated using the formula:

Energy Output = Mass of Fuel × Energy Content of Fuel

Step 3: Calculate the Power

The power can be calculated using the formula:

Power = Energy Output / Time

Let's proceed with the calculations using the given information.

Calculations

1. Calculate the energy input: - Energy Input = Energy Output / Efficiency - Energy Input = (6 kg × Energy Content of Kerosene) / 0.25

2. Calculate the energy output: - Energy Output = Mass of Fuel × Energy Content of Fuel - Energy Output = 6 kg × (Energy Content of Kerosene)

3. Calculate the power: - Power = Energy Output / Time - Power = (Energy Output) / 2 hours

Let's calculate the energy input, energy output, and power using the provided information.

Results

1. Energy Input: - Energy Input = (6 kg × Energy Content of Kerosene) / 0.25 - Energy Input = (6 kg × [Energy Content of Kerosene]) / 0.25 2. Energy Output: - Energy Output = 6 kg × [Energy Content of Kerosene]

3. Power: - Power = (Energy Output) / 2 hours

By using the above calculations, we can determine the power of the engine based on the given information.