78.0k views
2 votes
If 8300 Joules of heat raises the temperature of a sample of water by 36°C, what is the MASS of the water? (Q=Mc∆T)

1 Answer

4 votes

Final answer:

To find the mass of the water that was heated by 8300 Joules and experienced a temperature rise of 36°C, the specific heat capacity formula is rearranged and used with the constant specific heat capacity of water.

Step-by-step explanation:

The student has asked about determining the mass of water when heat is added and the temperature rise is known, using the specific heat capacity formula Q = mcΔT. The specific heat capacity of water is a constant, 4.186 Joules per gram per degree Celsius (J/g°C). To find the mass, rearrange the formula to m = Q / (cΔT). In this case, 8300 Joules of heat raises the water temperature by 36°C.

Therefore, the mass m of the water is calculated as follows:

m = Q / (cΔT) = 8300 J / (4.186 J/g°C × 36°C)

After calculating, we find the mass of the water sample.

User James Kirkby
by
8.7k points