Calculate the energy required to heat 186.0g of mercury from −7.3°C to 7.9°C. Assume the specific heat capacity of mercury under these conditions is ·0.139J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Question
Calculate the energy required to heat 186.0g of mercury from −7.3°C to 7.9°C. Assume the specific heat capacity of mercury under these conditions is ·0.139J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Solution
To calculate the energy required to heat a substance, we can use the formula:
q = mcΔT
where: q = heat energy m = mass c = specific heat capacity ΔT = change in temperature
Given: m = 186.0 g c = 0.139 J/g·K ΔT = Final temperature - Initial temperature = 7.9°C - (-7.3°C) = 15.2 K
Now, substitute the given values into the formula:
q = (186.0 g) * (0.139 J/g·K) * (15.2 K) = 393.048 J
So, the energy required to heat 186.0g of mercury from -7.3°C to 7.9°C is approximately 393 J. The answer is rounded to three significant figures because the given values have three significant figures.
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