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Question

The pressure exerted by an ideal gas molecule is given by the expression


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Solution

Ideal gas:

  • An ideal gas is a hypothetical gas whose molecules occupy negligible space and have no interactions, and which consequently obeys the gas laws exactly.
  • The ideal gas law states the volume of a given amount of gas is directly proportional to the number of moles of gas, directly proportional to the temperature, and inversely proportional to the pressure.

That is, PV=nRT

where, P is the pressure, V is the volume, n is the number of moles of the gas, R is the gas constant, and T is the temperature of the gas.

The pressure exerted by an ideal gas molecule:

  • The force of the gas that exerts on the walls of the container is known as pressure
  • On the basis of the kinetic theory of gas postulates, a formula can be derived that connects the pressure, volume, the number of molecules, individual mass, and the mean velocity.
  • The pressure exerted by an ideal gas molecule is given asP=MC23V, where M is the mass of the gas, C is the r.m.s velocity of the gas molecules(Root-mean-square (r.m.s) velocity is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values), and V is the volume of the gas.

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