The temperature of a sample of water changes from 10°C to 20°C when the water absorbs 376 joules of heat. What is the mass of the sample?A 0.9 gB 9 gC 90 gD 900 g
Question
The temperature of a sample of water changes from 10°C to 20°C when the water absorbs 376 joules of heat. What is the mass of the sample?A 0.9 gB 9 gC 90 gD 900 g
Solution
To solve this problem, we need to use the formula for heat absorbed or released, which is q = mcΔT, where:
- q is the heat absorbed or released,
- m is the mass,
- c is the specific heat capacity, and
- ΔT is the change in temperature.
For water, the specific heat capacity (c) is approximately 4.18 J/g°C.
We are given:
- q = 376 J,
- ΔT = 20°C - 10°C = 10°C, and
- c = 4.18 J/g°C.
We need to find m.
Rearranging the formula to solve for m gives us m = q / (cΔT).
Substituting the given values into the formula gives us m = 376 J / (4.18 J/g°C * 10°C) = 9 g.
So, the mass of the sample is 9 g (Option B).
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