Calculate the energy required to heat 323.0mg of mercury from −2.9°C to 19.6°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 323.0mg of mercury from −2.9°C to 19.6°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 is the heat energy,
- m is the mass,
- c is the specific heat capacity, and
- ΔT is the change in temperature.
First, we need to convert the mass from milligrams to grams, because the specific heat capacity is given in J/g·K.
323.0 mg = 0.323 g
Next, we calculate the change in temperature. The final temperature is 19.6°C and the initial temperature is -2.9°C, so:
ΔT = T_final - T_initial = 19.6°C - (-2.9°C) = 22.5°C
Now we can substitute these values into the formula:
q = (0.323 g) * (0.139 J/g·K) * (22.5 K) = 1.01 J
So, the energy required to heat 323.0 mg of mercury from -2.9°C to 19.6°C is approximately 1.01 J.
Similar Questions
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.
Calculate the energy required to heat 142.0g of iron from −4.8°C to 19.2°C. Assume the specific heat capacity of iron under these conditions is ·0.449J·g−1K−1 . Round your answer to 3 significant digits.
Calculate the energy required to heat 328.0g of iron from −5.1°C to 2.0°C. Assume the specific heat capacity of iron under these conditions is ·0.449J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Calculate the energy required to heat 261.0g of ammonia from 36.8°C to 51.0°C. Assume the specific heat capacity of ammonia under these conditions is ·4.70J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Calculate the energy required to heat 795.0mg of ethanol from −2.4°C to 14.6°C. Assume the specific heat capacity of ethanol under these conditions is ·2.44J·g−1K−1 . Be sure your answer has the correct number of significant digits.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.