A 10L bottle and a 1L bottle each contain 2 moles of ideal diatomic gas (but not

Question

A 10L bottle and a 1L bottle each contain 2 moles of ideal diatomic gas (but not the same gas) at 20 Degree C. Which of the following statements is correct? a) The molecules in the 1L bottle have the same average kinetic energy per molecule as those in the 10L bottle b) The internal (thermal) energy of the gas in the 10L bottle is larger c) The internal (thermal) energy of the gas in the 1L bottle is larger d) The molecules in the 10L bottle have the same root-mean-square speed as the molecules in the 1L bottle 2) A gas undergoes adiabatic compression. The amount of work done on the gas is 1000J What is the change in internal (thermal) energy of the gas?? a) -1000 J b) 0 J c) 1000 J d) We cannot say 3) A cyclic process on an ideal gas is shown in the pV diagram. The gas is brought back to its initial state after 1 cycle. If the process is carried out in a clockwise manner

Explanation / Answer

1)

A is correct, since Average kinetic energy is 0.5KT

Answer is A.

2)

By definition, in an adiabatic process, the heat exchanged dQ = 0. Substituting this in the first law and rearranging gives

0 = dQ = dU + dW so, dU =-dW

So, dU = -1000 J, Answer is A

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