Can you show me if i did these calculations right?

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Homework Help Overview

The problem involves comparing the energy required to boil one gram of mercury and one gram of water, given their specific heats and vaporization energies. The specific heat of mercury is noted as 0.03 cal/g°C, while that of water is 1 cal/g°C. The boiling point of mercury is 357°C, and the energy required to vaporize one gram of mercury is 65 calories, compared to 540 calories for water.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculations for both mercury and water, questioning the accuracy of the vaporization energy for water and confirming the arithmetic used in the calculations.

Discussion Status

Some participants have provided feedback on the calculations, indicating that they appear correct while also noting inconsistencies in the vaporization energy values. There is an ongoing exploration of the implications of these values on the overall energy comparison.

Contextual Notes

There is a discrepancy in the vaporization energy of water, with one participant mentioning a value of 430 calories, while another asserts it should be 540 calories. This inconsistency is under discussion but not resolved.

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Homework Statement



The specific heat of mercury is .03 cal/g C and its boiling point is 357 C. The specific heat of water is 1 cal/g C. It takes 65 calories of energy to vaporize one gram of mercury and 540*(edit) calories to vaporize 1 gram of water. If both substances begin at room temperature ( about 22 C) does it take more energy to boil a gram of mercury or a gram of water? Show your calculations.


Mercury Calculations:


Water calculations:


The Attempt at a Solution




I will just go straight to the trying to solve it out...

Mercury Calculations...

1 x .03 x ( 357-22) +65 = energy required for mercury
1 x .03 x 335 + 65
1 x 10.05 + 65 =
75.05 ...did i do this right?? by your calculations?


Water Calculations:

1 x 1 x (100 -22) + 540 = energy required for water
1 x 1 x 78 + 540
78+540 =
618 = cal energy required for water...So did i do both right ...
...so basically it required more energy to boil a gram of water...
 
Last edited:
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The 540 for energy of vaporization of water is not consistent with what is given in your problem (430). Aside from that, the calculations seem alright.
 
cepheid said:
The 540 for energy of vaporization of water is not consistent with what is given in your problem (430). Aside from that, the calculations seem alright.

Your completely right cepheid i messed up ...instead of 430 it should had been 540 ...but does it seem right? now that its 540?
 
As far as I can see, your calculations look fine. I don't see any obvious errors with the method or with the arithmetic.
 

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