Question

Вода масою 0,2 кг остигла у посудині з температури кипіння до 20 С. Вкажіть, на яку висоту можна підняти автомобіль масою 1,5 т, якщо використати енергію, що виділилась.

Answer 1

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Объяснение:

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Answer 2

To calculate the height to which a car weighing 1.5 tons can be lifted using the energy released when 0.2 kg of water cools from its boiling temperature to 20°C, we need to consider the concept of specific heat capacity and the energy equation.

Specific Heat Capacity:

Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by a certain amount. The specific heat capacity of water is approximately 4.18 J/g°C [[1]].

Energy Equation:

The energy equation can be used to calculate the energy released when the water cools down. The equation is as follows:

Q = m * c * ΔT

Where: - Q is the energy released (in joules) - m is the mass of the substance (in grams) - c is the specific heat capacity of the substance (in J/g°C) - ΔT is the change in temperature (in °C)

Calculation:

Given: - Mass of water (m) = 0.2 kg = 200 g - Initial temperature (Ti) = boiling temperature = 100°C - Final temperature (Tf) = 20°C - Specific heat capacity of water (c) = 4.18 J/g°C

Using the energy equation, we can calculate the energy released (Q):

Q = m * c * ΔT = 200 g * 4.18 J/g°C * (20°C - 100°C)

Simplifying the equation:

Q = 200 g * 4.18 J/g°C * (-80°C) = -66880 J

The negative sign indicates that energy is being released.

Lifting Height Calculation:

To calculate the height to which the car can be lifted using this energy, we need to consider the potential energy equation:

PE = m * g * h

Where: - PE is the potential energy (in joules) - m is the mass of the car (in kilograms) - g is the acceleration due to gravity (approximately 9.8 m/s²) - h is the height (in meters)

Given: - Mass of the car (m) = 1.5 tons = 1500 kg - Acceleration due to gravity (g) = 9.8 m/s² - Energy released (Q) = -66880 J

Using the potential energy equation, we can calculate the height (h):

PE = m * g * h = -66880 J

Simplifying the equation:

h = -66880 J / (m * g) = -66880 J / (1500 kg * 9.8 m/s²)

Calculating the height:

h ≈ -4.53 meters

The negative sign indicates that the car would be lowered by approximately 4.53 meters using the energy released when the water cools down.

Please note that this calculation assumes that all the energy released by the cooling water is used to lift the car, and it does not take into account any energy losses due to inefficiencies in the lifting mechanism.