Calculating Total Energy with Dimensional Analysis | Screenshot Included

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Discussion Overview

The discussion revolves around the calculation of total energy using dimensional analysis in the context of a homework problem involving heat capacity and calorimetry. Participants are examining the discrepancies between their calculations and the teacher's approach, particularly focusing on the treatment of mass in the energy calculations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that the heat capacity is given as 11.3 kJ/(C*g) and attempts to calculate total energy by multiplying this value by the change in temperature and the mass of methane.
  • Another participant suggests that the teacher's method, which omits grams, may indicate a misunderstanding or a mistake in the problem statement.
  • A different participant proposes that the value of 11.3 is likely intended to represent heat capacity rather than specific heat capacity, questioning the absence of calorimeter mass in the problem.
  • Another participant agrees that referring to the value as specific heat capacity is misleading and emphasizes that the calculation appears correct despite the confusion regarding mass.
  • There is a suggestion to convert the energy value to a more general form, such as kJ per mole or kJ/Kg, to clarify the calculation.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the heat capacity value and its implications for the calculation. There is no consensus on whether the problem is correctly stated or if it contains errors, and multiple competing interpretations remain.

Contextual Notes

Participants highlight potential limitations in the problem, including the lack of information about calorimeter mass and the ambiguity in the terminology used for heat capacity.

JessicaHelena
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Homework Statement


Please look at the screenshot.

Homework Equations



dimensional analysis

The Attempt at a Solution


Since the heat capacity is given as 11.3 kJ/(C*g), and energy is measured in Joules (or kJ), I thought to multiply 11.3 by the change in temp (7.3 C) and also 1.50 g of methane.

However, as you can see, what my teacher did is quite different (does not have the grams).

but he explicitly states that total energy = energy required per deg x no. of deg... where'd the grams go then?
Please help me out!
 

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JessicaHelena said:

Homework Statement


Please look at the screenshot.

Homework Equations



dimensional analysis

The Attempt at a Solution


Since the heat capacity is given as 11.3 kJ/(C*g), and energy is measured in Joules (or kJ), I thought to multiply 11.3 by the change in temp (7.3 C) and also 1.50 g of methane.

However, as you can see, what my teacher did is quite different (does not have the grams).
but he explicitly states that total energy = energy required per deg x no. of deg... where'd the grams go then?
Please help me out!
You’re given the SH of the bomb calorimeter. Then it seems to switch to what’s called a calorimeter constant, which is just J/C. The question seems oddly worded and is perhaps just a mistake in the notes?

You might want to email your professor and ask for clarification or wait for another reply here from someone to see something I missed or am misunderstanding myself.
 
My bet is that is a mistake, 11.3 looks like it is intended to be a heat capacity, not a specific heat capacity (note you are not given calorimeter mass which makes the question impossible to solve).
 
I agree with the last two posters that to call it specific heat capacity is unfortunate, it is just a heat capacity (and should not contain g).
But as far as it goes the calculation appears to me correct.
Where have the grams gone? You just need to convert the kJ for that amount of octane in that particular experiment to something of more general value, the kJ per mole octane, or maybe for engineers kJ/Kg.
 
Last edited:

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