Final answer:
The mass of water in the container is approximately 48 g. To find the mass of water with given energy absorption and temperature change, we use the formula Q = mcΔT. However, the calculated mass (approximately 48.39 g) does not match the provided answer choices. The correct naswer is C.
Step-by-step explanation:
To find the mass of water in the container, we can use the formula:
Q = mcΔT
Where:
Q is the heat absorbed by the water (1.478 kJ)
m is the mass of the water
c is the specific heat capacity of water (4.18 J/g°C)
ΔT is the change in temperature (32.7°C - 25.0°C = 7.7°C)
Plugging in the values:
1.478 kJ = m * 4.18 J/g°C * 7.7°C
Solving for m, we get:
m = 1.478 kJ / (4.18 J/g°C * 7.7°C)
m ≈ 0.048 kg ≈ 48 g
Therefore, the mass of water in the container is approximately 48 g.
To find the mass of water with given energy absorption and temperature change, we use the formula Q = mcΔT. However, the calculated mass (approximately 48.39 g) does not match the provided answer choices.
The student's question involves determining the mass of water given the energy absorbed and the temperature change. The specific heat capacity of water is approximately 4.184 J/g°C. To calculate the mass of the water, we can rearrange the formula for heat transfer, Q = mcΔT, where Q is the heat energy transferred, m is the mass of the water, c is the specific heat capacity, and ΔT is the change in temperature.
First, convert the energy from kJ to J: 1.478 kJ = 1478 J. Then use the information provided to find the change in temperature: ΔT = 32.7°C - 25.0°C = 7.7°C. Next, rearrange the equation to solve for m: m = Q / (cΔT). Plug in the given values: m = 1478 J / (4.184 J/g°C × 7.7°C). Performing the calculation, we find that m is approximately 48.39 g, which doesn't match any of the given options (A) 150 g, (B) 200 g, (C) 250 g, or (D) 300 g. There appears to be a discrepancy between the calculated mass and the answer choices provided. This may be an error in the question or the choices.