Internal energy of the gas in a gasoline engine

AI Thread Summary
The internal energy of the gas in a gasoline engine decreases by 176.7 J, and 67.0 J of work is done by the gas. Using the first law of thermodynamics, the equation Q = U + W is applied. The initial calculation mistakenly added work done by the gas as a positive value. The correct approach recognizes that since work is done by the gas, it should be subtracted, leading to a heat transfer of 109.7 J. Understanding the signs in thermodynamic equations is crucial for accurate calculations.
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I am so lost with this question. Can anyone help?

The internal energy of the gas in a gasoline
engine's cylinder decreases by 176:7 J.
If 67.0 J of work is done by the gas, how
much energy is transferred as heat? Answer
in units of J
 
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Use the first law of thermodynamic:
Q=U+W, where W is the work done by the gas
 
I did Q= 176.7 (change in energy) + 67 (amount of work done)

I got 243.7
What am I doing wrong
 
I think the mistake is here.
Q=U+W but since the work is fone by the gas the the +w might be deceiving.
W is positive if work is done on the gas.Since instead it is done by the gas it would imply you will have to add -67
Therefore the answer is 176.7-67=109.7
 
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