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The answer is: No, because we also need to know the type of proportionality
In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.
1. Direct Proportionality:
If there are two variables x and y, we can write the relationship between them as follows:
So, by substituting the point in this equation we have that the constant of proportionality is:
2. Inverse Proportionality:
In this case, the relationship is:
So, the constant of proportionality is:
As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.
Answer:
The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ
Step-by-step explanation:
The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.
The formula for the energy required to melt the ice is presented as follows;
Energy required = Mass, m × Latent heat of fusion, , of ice
Hence, the mass, m, of the ice = 15,000 g
Latent heat of fusion, , of ice = 333 J/g
Therefore;
Energy required = 15,000 g × 333 J/g = 4995000 J
Hence;
The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J
1000 J = 1 kJ
1 J = 1/1000 kJ
Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.
Which gives;
The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.