The granite block transferred 4080 J of energy, and the mass of the water is 35.8 g.
1. Energy from granite block
The formula for the heat (q) transferred is
q = mCΔT
m = 126.1 g; C = 0.795 J·°C⁻¹g⁻¹; ΔT = T_f – T_i = 51.9 °C - 92.6 °C = -40.7 °C
∴ q = 126.1 g × 0.795 J·°C⁻¹g⁻¹ × (-40.7 °C) = -4080 J
The granite block transferred 4080 J.
2. Mass of water
q = mCΔT
m = q/(CΔT)
q = 4080 J; C = 4.186 J·°C⁻¹g⁻¹; ΔT = T_f – T_i = 51.9 °C – 24.7 °C = 27.2 °C
∴ m = 4080 J/(4.186 J·°C⁻¹g⁻¹ × 27.2 °C) = 35.8 g
The mass of the water is 35.8 g.
The granite block transferred 4,080 joules of energy, and the mass of the water is 35.8 grams.
Heat transfer in any system can be calculated as follow:
q = mCΔT
Heat transfer by the granite block is calculated as follow:
q = mCΔT, where
m = mass of granite = 126.1 g (given)
C = specific heat of granite = 0.795 joules/gram degree Celsius (given)
ΔT = change in temperature of granite = 51.9 °C - 92.6 °C = -40.7 °C (given)
Putting all these values in the above equation, we get
q = 126.1 × 0.795 × -40.7 = -4080 J
Now by using the above formula, we can also calculate the mass of water in the following way:
m = q / CΔT, where
C = specific heat of water = 4.186 joules/gram degree Celsius (given)
ΔT = change in temperature of water = 51.9 °C – 24.7 °C = 27.2 °C
Putting all these values in the above equation, we get
m = -4080 / 4.186 × 27.2 = 35.8 g.
Hence, 4,080 joules of energy is transferred by granite block and 35.8 g is the mass of water.
To learn more about heat transfer, visit the below link:
https://brainly.com/question/18980657
