Final answer:
To find the mass of the water in the container, we can use the equation q = mcΔT, where q is the energy absorbed, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature. By plugging in the given values and solving the equation, we find that the mass of water is approximately 45 grams. The correct answer is A.
Step-by-step explanation:
To find the mass of water, we can use the equation:
q = mcΔT
Where: q is the energy absorbed, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
Using the given values, we have:
1.478 kJ = m(4.18 J/g°C)(32.7 °C - 25.0 °C)
Simplifying the equation, we can convert 1.478 kJ to J by multiplying it by 1000:
1478 J = m(4.18 J/g°C)(7.7 °C)
Next, we can divide both sides of the equation by (4.18 J/g°C)(7.7 °C) to isolate the mass:
m = 1478 J / ((4.18 J/g°C)(7.7 °C))
Doing the math, we find that the mass of water in the container is approximately 45 grams.
To find the mass of water, the specific heat formula Q = mcΔT is used. After converting the heat absorbed to Joules and calculating with the given temperature change, the mass is found to be approximately 45.9 g. This doesn't match the provided answer choices, suggesting an error in the question or the choices.
To determine the mass of water in the container, we can use the specific heat capacity equation: Q = mcΔT, where Q is the amount of heat absorbed (1.478 kJ), m is the mass of the water, c is the specific heat capacity of water (4.184 J/g°C), and ΔT is the change in temperature.
The change in temperature (ΔT) is 32.7°C - 25.0°C = 7.7°C. The heat absorbed needs to be in the same units as the specific heat capacity, so we convert 1.478 kJ to Joules: 1.478 kJ equals 1478 J. Using the formula, we rearrange it to solve for m: m = Q / (c ΔT).
Substituting the values, we have m = 1478 J / (4.184 J/g°C * 7.7°C), which simplifies to m = 1478 J / (32.2178 J/g), giving us a mass of approximately 45.9 g. As none of the answer choices match this calculation, it appears there may be an issue with the provided options or the initial question.