Calculate the energy required to heat 602.0mg of mercury from 3.9°C to 17.0°C. Assume the specific heat capacity of mercury under these conditions is ·0.139J·g−1K−1 . Round your answer to 3 significant digits.
Question
Calculate the energy required to heat 602.0mg of mercury from 3.9°C to 17.0°C. Assume the specific heat capacity of mercury under these conditions is ·0.139J·g−1K−1 . Round your answer to 3 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 = 602.0 mg = 0.602 g (since 1g = 1000mg) c = 0.139 J/g·K ΔT = 17.0°C - 3.9°C = 13.1 K (since 1°C change = 1K change)
Substituting these values into the formula:
q = (0.602 g) * (0.139 J/g·K) * (13.1 K) = 1.07 J
So, the energy required to heat 602.0 mg of mercury from 3.9°C to 17.0°C is approximately 1.07 J.
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