Calculate the energy required to heat 586.0g of mercury from 3.2°C to 19.2°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 586.0g of mercury from 3.2°C to 19.2°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, you can use the formula:
q = mcΔT
where:
- q is the heat energy,
- m is the mass of the substance,
- c is the specific heat capacity of the substance, and
- ΔT is the change in temperature.
Given:
- m = 586.0 g,
- c = 0.139 J/g·K, and
- ΔT = 19.2°C - 3.2°C = 16.0 K (Note: a change of 1°C is equal to a change of 1 K)
Substitute these values into the formula:
q = (586.0 g) * (0.139 J/g·K) * (16.0 K) = 1304.64 J
The answer should be rounded to four significant figures because the given values have four significant figures. Therefore, the energy required to heat 586.0 g of mercury from 3.2°C to 19.2°C is 1305 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 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.
Calculate the energy required to heat 0.90kg of ammonia from 42.0°C to 61.2°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 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.
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.