Ideal Gas Molecules

 

What is the relationship between temperature and average kinetic energy of gas particles?

Temperature and average kinetic energy of gas particles are directly proportional. If the temperature is doubled, the kinetic energy of the gas particles also doubles.

What is the relationship between temperature and pressure of a gas?

Temperature and pressure of a gas are also directly proportional. If the temperature is tripled, the pressure of the gas also triples.

What is the relationship between the volume of a gas and its pressure?

As volume decreases, pressure increases. This is an inversely proportional relationship.

A sample of hydrogen gas has a pressure of 120 kPa and a temperature of 255 K. Find the new pressure if the temperature is increased to 600 K.

  • P1/T1 = P2/T2

  • 120/255 = P2/600

  • 0.47 = P2/600

  • P2 = 0.47 x 600

  • P2 = 282 kPa

A sample of argon gas with a pressure of 160 kPa is compressed from a volume of 500 cm3 to 300 cm3. What is the new pressure of the gas?

  • P1V1 = P2V2
  • 160 x 500 = P2 x 300
  • 80 000 = P2 x 300
  • 80 000 / 300 = 267 kPa

Convert 25oC into Kelvin.

To convert between degrees Celcius and Kevlin we need to add 273. 25 + 273 = 298

Convert 280 K into degrees Celsius.

To convert between Kelvin and degrees Celsius, we need to substract 273. 280 - 273 = 7oC.