We have two equal size boxes, A and B. Each box contains gas that behaves as an

Question

We have two equal size boxes, A and B. Each box contains gas that behaves as an ideal gas. We insert a thermometer into each box and find that the gas in box S is at a temperature of 50°C while that in B is at 10°C. This is all we know about the gas in the boxes. Which of the following statements MUST be true? Which COULD be true? Explain the reasoning behind your answers.
a) The pressure in A is higher than in B
b) There are more molecules in A than in B
c) A and B cannot contain the same type of gas
d) The molecules in A have more average kinetic energy per molecule than those in B
e) The molecules in A are moving faster than those in B

Explanation / Answer

The correct options are (d) and (e).

The average kinetic energy is directly proportional to the absolute temperature. Since the box A is at higher temperature than B, the kinetic energy of molecules A is greater and that of B. Therefore, the molecules in A moving fast than those in box B.

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