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15 J of heat are removed from a gas sample while it is being compressed by a piston that does 30J of work. What is the...

15 J of heat are removed from a gas sample while it is being compressed by a piston that does 30J of work.
What is the change in the thermal energy of the gas?
How does change the temperature of the gas? (increase, decrease?)
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Answer #1

   given that the ammount of heat removed from the gas ΔQ=-15J

  negative sign is taken since the heat is removed

    the ammount work done ΔW=-30J

   negative sign is taken since the work is done on the system

so if ΔU is the thermal energy change in the gas

   then

   ΔQ=ΔU+ΔW

-15=ΔU-30

ΔU=15J

   since there is an increase in thermal energy of the gas

   the temparature of the gas increases

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