Question

What is the mass of iron pellets at 135.0°C when the iron is poured into 50.0 grams of water at 24.5°C? The final temperature of the iron and water mixture is 82.0°C.

a) 50.0 grams
b) 55.0 grams
c) 60.0 grams
d) 65.0 grams

Answer 1

The mass of iron pellets is approximately 65.0 grams.

Step-by-step explanation:

To find the mass of iron pellets when poured into water, we can use the principle of heat transfer. According to the heat equation, heat gained by water is equal to the heat lost by iron pellets. We can use this equation to find the unknown mass:

Qwater = Qiron

where Q is the amount of heat, and we can find it using the specific heat capacity of water and the change in temperature:

Qwater = mwater * cwater * ΔTwater

We can then substitute the known values and solve for the mass of the iron pellets:

miron = Qwater / (ciron * ΔTiron)

Calculating this gives us a mass of approximately 65.0 grams for the iron pellets.