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Draw a particle diagram of a sample of a gas at 100 K and again at 200 K (volume and amount are constant). Give numbers for the temperature, pressure, volume, and amount. (P= , T= , V= , n= )

a) 100, same, same, same
b) 100, higher, same, same
c) 100, same, same, different
d) 100, lower, same, same

1 Answer

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Final answer:

To draw the particle diagrams for each given scenario, knowledge of gas laws such as Boyle's Law, Charles's Law, and Gay-Lussac's Law is applied. The temperature, pressure, volume, and amount of a gas are related, and changes in temperature can affect pressure when volume and mole amount of gas remain constant.The correct option is: b) 100, higher, same, same

Step-by-step explanation:

The question involves drawing particle diagrams for a gas at different temperatures while keeping volume and amount constant, and understanding the effects on pressure. With the given conditions in each scenario, we can infer the following:

  • a) 100 K, same pressure, same volume, same amount - At 100 K, when the pressure, volume, and amount are the same, no change in particle diagram is needed.
  • b) 200 K, higher pressure, same volume, same amount - As per Gay-Lussac's Law, the pressure of a gas increases with temperature if the volume and amount of the gas remain constant. Therefore, at 200 K, the pressure will be higher than at 100 K.
  • c) 100 K, same pressure, same volume, different amount - Avogadro's Law states that at constant temperature and pressure, the volume of a gas is directly proportional to the number of moles of gas. Since volume and temperature are the same, the amount of gas cannot change or it would violate the law.
  • d) 100 K, lower pressure, same volume, same amount - Boyle's Law states that for a given amount of gas at a constant temperature, the pressure is inversely proportional to the volume. Since the volume and temperature are kept constant, the pressure cannot be lower - it must remain the same.The correct option is: b) 100, higher, same, same

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