How Does Gas Temperature Affect Q and W in Thermodynamic Processes?

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?? about gas temp!

1. Homework Statement

was not sure if this was an introductory problem or a advanced problem. i will let you guys be the judge, but this is my first year of college physics.

One mole of nitrogen is compressed (by piling lots of sand on the piston) to a volume of 14 liters at room temperature (293 K). The cylinder is placed on an electric heating element whose temperature is maintained at 293.001 K. A quasistatic expansion is carried out at constant temperature by very slowly removing grains of sand from the top of the piston, with the temperature of the gas staying constant at 293 K. (You must assume that there is no energy transfer due to a temperature difference from the gas to the surrounding air, and no friction in the motion of the piston, all of which is pretty unrealistic in the real world! Nevertheless there are processes that can be approximated by a constant-temperature expansion. This problem is an idealization of a real process.) When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

1. When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

2. How much work W has been done on the piston by the gas?

3. How much has the energy of the gas changed?

i got number 3. and the answer is 0 J the other two i am completely stuck on.

3. The Attempt at a Solution

um... i have no idea where to even start. might just be a simple formula but have been looking in the textbook and can not find one. any help would be great!
thanks
 
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How much work W has been done on the piston by the gas?

moles*avogadro's number*boltzmann's constant*Temp*Ln(V1/V2)

How much has the energy of the gas changed?

same thing as the one before
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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