Latent heat of vaporisation of water is 540 cal g–1 at 100°C. Calculate the entropy change when 1000 g water is converted to steam at 100°C. :- 1447 cal2447 cal3447 cal4447 cal
Question
Latent heat of vaporisation of water is 540 cal g–1 at 100°C. Calculate the entropy change when 1000 g water is converted to steam at 100°C. :- 1447 cal2447 cal3447 cal4447 cal
Solution 1
To calculate the entropy change when 1000 g of water is converted to steam at 100°C, we can use the formula:
ΔS = q/T
Where ΔS is the entropy change, q is the heat transferred, and T is the temperature.
First, we need to calculate the heat transferred. The heat transferred can be calculated using the formula:
q = m * L
Where q is the heat transferred, m is the mass of the substance, and L is the latent heat of vaporization.
Given that the latent heat of vaporization of water is 540 cal g–1 at 100°C, and we have 1000 g of water, we can calculate the heat transferred as:
q = 1000 g * 540 cal g–1 = 540,000 cal
Next, we need to calculate the temperature. Since the water is being converted to steam at 100°C, the temperature remains constant. Therefore, T = 100°C.
Now, we can substitute the values into the formula to calculate the entropy change:
ΔS = 540,000 cal / 100°C = 5400 cal/°C
Therefore, the entropy change when 1000 g of water is converted to steam at 100°C is 5400 cal/°C.
Solution 2
To calculate the entropy change when 1000 g of water is converted to steam at 100°C, we can use the formula:
ΔS = q/T
Where ΔS is the entropy change, q is the heat transferred, and T is the temperature.
First, we need to calculate the heat transferred. The heat transferred can be calculated using the formula:
q = m * L
Where q is the heat transferred, m is the mass of the substance, and L is the latent heat of vaporization.
Given that the latent heat of vaporization of water is 540 cal g–1 at 100°C, and we have 1000 g of water, we can calculate the heat transferred as:
q = 1000 g * 540 cal g–1 = 540,000 cal
Next, we need to calculate the temperature. Since the water is being converted to steam at 100°C, the temperature remains constant. Therefore, T = 100°C.
Now, we can substitute the values into the formula to calculate the entropy change:
ΔS = 540,000 cal / 100°C = 5400 cal/°C
Therefore, the entropy change when 1000 g of water is converted to steam at 100°C is 5400 cal/°C.
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