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A metal rod at a temperature of 150°C, radiates energy at a rate of 20W. If its temperature is increased to 300°C, then it will radiate at the rate of
To overcome this problem, we make use of the Stefan-Boltzmann law: that states that power radiated by any body is directly proportional to the fourth power of the absolute temperature as, P = σ A T⁴ P = the radiated power. σ is known as Stefan- Boltzmann constant, A is surface area of body, and T isRead more
To overcome this problem, we make use of the Stefan-Boltzmann law: that states that power radiated by any body is directly proportional to the fourth power of the absolute temperature as,
P = σ A T⁴
P = the radiated power.
σ is known as Stefan- Boltzmann constant,
A is surface area of body, and
T is temperature in Kelvin.
Since the surface area and the Stefan-Boltzmann constant do not change, we can compare the two powers at two different temperatures by using the ratio of their temperatures raised to the fourth power:
P₂ / P₁ = (T₂ / T₁)⁴
We are given:
– The initial temperature is T₁ = 150°C = 150 + 273 = 423 K
– The final temperature is T₂ = 300°C = 300 + 273 = 573 K
– The initial power is P₁ = 20 W
Applying the formula:
P₂ / 20 = (573 / 423)⁴
Now we can calculate P₂:
P₂ = 20 × (573 / 423)⁴ ≈ 67.34 W
Thus, the power radiated by the metal rod at 300°C will be approximately 67.34 W. The closest answer is: 68.3 W
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How can you tell when the vermicompost is ready for use?
The vermicompost is ready for use when it appears dark, crumbly, and emits an earthy smell, signifying the organic material has been fully decomposed by earthworms. This process typically takes a few months, depending on conditions like moisture, temperature, and the types of waste used. Properly fiRead more
The vermicompost is ready for use when it appears dark, crumbly, and emits an earthy smell, signifying the organic material has been fully decomposed by earthworms. This process typically takes a few months, depending on conditions like moisture, temperature, and the types of waste used. Properly finished vermicompost is nutrient-rich and can be used to enhance soil fertility and support healthy plant growth.
See lessWhy should meat, dairy, oily foods and citrus fruits not be added to the vermicompost bin?
Meat, dairy products, oily foods, and citrus fruits should not be added to the vermicompost bin because they can attract pests like rodents and flies, emit unpleasant odors, and create an unsuitable environment for earthworms. These items may also take longer to decompose and harm the worms, disruptRead more
Meat, dairy products, oily foods, and citrus fruits should not be added to the vermicompost bin because they can attract pests like rodents and flies, emit unpleasant odors, and create an unsuitable environment for earthworms. These items may also take longer to decompose and harm the worms, disrupting the overall efficiency of the composting process. Proper waste selection ensures a smooth and healthy vermicomposting operation.
See lessHow is the moisture level in the bedding maintained and what precautions should be taken to avoid waterlogging?
The bedding material is kept moist by spraying water regularly, ensuring it remains damp but not overly wet. To avoid waterlogging, water should be added carefully and monitored regularly. Excess moisture can create anaerobic conditions, harm earthworms, and slow down decomposition. Maintaining theRead more
The bedding material is kept moist by spraying water regularly, ensuring it remains damp but not overly wet. To avoid waterlogging, water should be added carefully and monitored regularly. Excess moisture can create anaerobic conditions, harm earthworms, and slow down decomposition. Maintaining the right moisture balance ensures an optimal environment for earthworms and promotes the efficient breakdown of organic matter into nutrient-rich compost.
See lessA black body is heated from 27°C to 127°C. The ratio of their energies of radiations emitted will be
We will use the Stefan-Boltzmann law, which states that the energy radiated by a black body is proportional to the fourth power of its temperature in Kelvin: E ∝ T⁴ Given: - Initial temperature T₁ = 27°C = 27 + 273 = 300 K - Final temperature T₂ = 127°C = 127 + 273 = 400 K The ratio of energies radiRead more
We will use the Stefan-Boltzmann law, which states that the energy radiated by a black body is proportional to the fourth power of its temperature in Kelvin:
E ∝ T⁴
Given:
– Initial temperature T₁ = 27°C = 27 + 273 = 300 K
– Final temperature T₂ = 127°C = 127 + 273 = 400 K
The ratio of energies radiated:
E₂ / E₁ = (T₂ / T₁)⁴
Now calculate the ratio:
E₂ / E₁ = (400 / 300)⁴ ≈ 3.16
Hence, the nearest answer is: 3 : 4
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