You are the unquestionably proud possessor of two equal-size boxes, a red box an

Question

You are the unquestionably proud possessor of two equal-size boxes, a red box and a blue box. Each box contains an unknown gas that behaves as an ideal gas. You insert a thermometer into each box and find that the gas in the blue box has a temperature of 20.0 degree C while the gas in the blue box has a temperature of 45.0 degree C. This is all you know about the gas in the boxes (your zombie kitty has slowly walked away). For each of the following statements, declare whether that statement must be true, could be true, or is not true. Explain the reasoning behind your answers. (a) There are more molecules in the red box than there are in the blue box. (b) The red box and the blue box cannot contain the same type of gas. (c) The pressure in the red box is lower than that in the blue box. (d) The molecules in the red box have more average kinetic energy per molecule than those in the blue box. (e) The molecules in the red box are moving faster than those in the blue box.

Explanation / Answer

a) not true. As Volume occupied by the gas is directly proportional to the temperature.

b) not true. The two boxes can contain the same type of gas , at two different temperatures.

c) not true. According to gaylussac law pressure is directly proportional to temperature.

d) not true. According to equipartition theorem, average kinetic energy is more for the gas which has more temperature.

e) not true. More is the temperature, more rapidly the molecules move.

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