If a sample of an ideal gas in a sealed container of fixed volume is heated from

Question

If a sample of an ideal gas in a sealed container of fixed volume is heated from 10 degree C to 40 degree C, the value of which of the following quantities will remain constant? a) The average force of a molecular collision with the walls of the container b) The pressure of the gas c) The root mean square speed of the gas d) The total kinetic energy of the sample e) The density of the gas f) The total internal energy of the sample g) The momentum of the particles h) The product PV due to Boyle's Law i) All of the above because the nature of the gas does not matter j) None of the above

Explanation / Answer

The container is sealed and has a fixed volume, that means that the molecules of gas can´t scape from it. For that reason the mass of gas and the volume are constant. The equation for density is: d=mass/volume, so, if this 2 values are constant then the density is constant. The correct option is e)

An increase in temperature causes the particles to move faster, this increases the kinetic energy of the molecules and finally the force of the collitions with the walls of the container.

The equation for ideal gases is: PV=nRT, this means that when the T increases P also increases, they are directly proportional.

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