How much heat must be added to 190 g of ice at 0°C to melt the ice completely?
Multiply the mass by the heat of fusion of ice, 80 cal/g.
Well, that's a cool question, literally! To melt the ice completely, you need to be colder than your ex's heart. Just kidding! In reality, you just need to add some heat.
The specific heat capacity of ice is about 2.09 J/g°C. To calculate the heat required to melt the ice completely, we need to use the formula:
Q = m * L
Where Q is the heat required, m is the mass of the ice, and L is the latent heat of fusion for ice, which is about 334 J/g.
So, let's do some math. The mass of the ice is given as 190 g. To convert this to grams, we get:
Q = 190 g * 334 J/g
Now, give me a moment while I calculate that for you...
*beep boop beep boop*
Alright, the total heat required to melt the ice completely is approximately 63,460 J. That's enough to make even the iciest heart melt!
To calculate the amount of heat required to melt the ice completely, we can use the equation:
Q = m * ΔHf,
where Q is the heat, m is the mass of the ice, and ΔHf is the heat of fusion.
Given:
Mass of ice (m) = 190 g
Heat of fusion (ΔHf) = 334 J/g
Let's substitute the given values into the equation:
Q = 190 g * 334 J/g
Q = 63,460 J
Therefore, you would need to add 63,460 J of heat to completely melt 190 g of ice at 0°C.
To calculate the amount of heat required to melt the ice completely, we need to consider the heat energy required for two processes: raising the ice's temperature from 0°C to the melting point, and then melting the ice at the melting point.
First, let's calculate the heat energy required to raise the ice's temperature from 0°C to its melting point. We can use the specific heat capacity of ice, which is 2.09 J/g°C.
The formula to calculate the heat energy is: q = m * c * ΔT,
where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
We know the mass of the ice is 190 grams, the specific heat capacity is 2.09 J/g°C, and the change in temperature is the melting point of ice (0°C) minus 0°C, which is 0°C. Therefore, the heat energy required to raise the temperature to the melting point is:
q = 190 g * 2.09 J/g°C * 0°C = 0 J.
Next, we need to calculate the heat energy required to completely melt the ice. This is determined by the heat of fusion, which is the energy required to change a substance from a solid to a liquid phase. For ice, the heat of fusion is 334 J/g.
The formula to calculate the heat of fusion is: q = m * ΔH_fusion,
where q is the heat energy, m is the mass, and ΔH_fusion is the heat of fusion.
We know the mass of the ice is 190 grams, and the heat of fusion is 334 J/g. Therefore, the heat energy required to melt the ice completely is:
q = 190 g * 334 J/g = 63,460 J.
Therefore, to melt 190 grams of ice completely, you would need to add 63,460 Joules of heat energy.