Steam of 100 degree celsius is passed into ice of 100g . The mixture weighs 120g at 35 degree celsius, find the specific heat of ice.
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Sorry Sir, It showed that the question was not sent. So I tried again but the second time it showed 2 questions are send
To find the specific heat of ice, we can use the principle of conservation of energy. The equation for the specific heat is:
Q = mcΔT
where Q is the heat transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.
First, let's calculate the heat transferred to the ice when the steam condenses. Since the steam is at 100 degrees Celsius and condenses to water, we can use the heat of vaporization equation:
Q1 = mL
where Q1 is the heat transferred, m is the mass of the steam, and L is the heat of vaporization of water.
The heat of vaporization of water is 2260 J/g. Since the steam condenses into water, we can assume that the final temperature of the water is also 100 degrees Celsius.
Q1 = (mass of steam) * (heat of vaporization of water)
Q1 = (mass of steam) * (2260 J/g)
Next, let's calculate the heat transferred from the water to the ice to raise its temperature from 0 degrees Celsius to 35 degrees Celsius.
Q2 = mcΔT
Q2 = (mass of water) * (specific heat of water) * (temperature change)
Since the water is at 100 degrees Celsius when it condenses into water and the final temperature is 35 degrees Celsius, we can calculate the heat transferred from the water to the ice.
Q2 = (mass of water) * (specific heat of water) * (final temperature - initial temperature)
Q2 = (mass of water) * (4.18 J/g°C) * (35°C - 0°C)
Finally, we can calculate the heat transferred from the ice to raise its temperature from 0 degrees Celsius to 35 degrees Celsius.
Q3 = mcΔT
Q3 = (mass of ice) * (specific heat of ice) * (final temperature - initial temperature)
Q3 = (mass of ice) * (specific heat of ice) * (35°C - 0°C)
Now, we know that the total heat transferred in the system is conserved. So,
Q1 + Q2 + Q3 = 0
Calculating the equation will give us the specific heat of ice.
Please provide the values for the mass of steam, mass of water, and mass of ice to proceed with the calculations.