How much heat is required to melt a 25 kg block of ice and heat it to 78°C?

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In summary, the amount of heat required to boil water depends on factors such as initial temperature, atmospheric pressure, and altitude. It takes 1 calorie of heat to raise the temperature of 1 gram of water by 1 degree Celsius, so boiling 1 liter of water from room temperature would require 75,000 calories of heat. The amount of heat required to melt a substance varies based on its specific heat of fusion, which is the amount of heat required to melt 1 gram of the substance. The specific heat capacity of a substance determines the amount of heat required to raise its temperature. The amount of heat required for a chemical reaction is determined by measuring the change in enthalpy using a calorimeter. The amount of heat required
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Homework Statement


a 25 kg block of ice is heated from -10 celcius to 78 celcius. HOw much heat is required.

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To calculate the amount of heat required, we can use the specific heat capacity of ice and water. The specific heat capacity of ice is 2.1 J/g°C and the specific heat capacity of water is 4.18 J/g°C.

First, we need to calculate the amount of energy required to raise the temperature of the ice from -10°C to 0°C. This can be calculated using the equation Q = m x c x ΔT, where Q is the amount of heat energy, m is the mass of the ice (25 kg), c is the specific heat capacity of ice (2.1 J/g°C), and ΔT is the change in temperature (10°C).

Q = (25 kg) x (2.1 J/g°C) x (10°C) = 525 J

Next, we need to calculate the amount of energy required to melt the ice. This can be calculated using the equation Q = m x L, where Q is the amount of heat energy, m is the mass of the ice (25 kg), and L is the latent heat of fusion for water, which is 334 J/g.

Q = (25 kg) x (334 J/g) = 8350 J

Finally, we need to calculate the amount of energy required to raise the temperature of the water from 0°C to 78°C. This can be calculated using the equation Q = m x c x ΔT, where Q is the amount of heat energy, m is the mass of the water (25 kg), c is the specific heat capacity of water (4.18 J/g°C), and ΔT is the change in temperature (78°C).

Q = (25 kg) x (4.18 J/g°C) x (78°C) = 8145 J

Therefore, the total amount of heat required is 525 J + 8350 J + 8145 J = 17020 J. This is the minimum amount of energy required to heat a 25 kg block of ice from -10°C to 78°C.
 

FAQ: How much heat is required to melt a 25 kg block of ice and heat it to 78°C?

1. How much heat is required to boil water?

The amount of heat required to boil water depends on several factors, such as the initial temperature of the water, the atmospheric pressure, and the altitude. On average, it takes about 1 calorie of heat to raise the temperature of 1 gram of water by 1 degree Celsius. So, to boil 1 liter of water (1000 grams) from room temperature (25 degrees Celsius), it would require 75,000 calories of heat.

2. How much heat is required to melt a certain substance?

The amount of heat required to melt a substance, also known as its heat of fusion, varies depending on the substance. Each substance has a specific heat of fusion, which is the amount of heat required to melt 1 gram of the substance. For example, the heat of fusion for water is 334 joules per gram, so it would take 334 joules of heat to melt 1 gram of ice into 1 gram of water.

3. How much heat is required to raise the temperature of a substance?

The amount of heat required to raise the temperature of a substance depends on its specific heat capacity. Specific heat capacity is the amount of heat required to raise the temperature of 1 gram of a substance by 1 degree Celsius. For example, the specific heat capacity of water is 4.184 joules/gram °C, so it would take 4.184 joules of heat to raise the temperature of 1 gram of water by 1 degree Celsius.

4. How is the amount of heat required for a chemical reaction determined?

The amount of heat required for a chemical reaction, also known as the heat of reaction, is determined by measuring the change in enthalpy of the reaction. Enthalpy is a measure of the total energy of a system, and the change in enthalpy is the difference between the energy of the reactants and the products. This change in enthalpy can be measured using a calorimeter.

5. How can the amount of heat required for a process be calculated?

The amount of heat required for a process can be calculated using the formula Q = mcΔT, where Q is the heat required, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature. This formula can be used for various processes, such as melting, boiling, and raising the temperature of a substance.

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