Question

IF 1022 GAS MOLECULES EACH OF MASS 10-26 kg COLLIDE WITH A SURFACE (PERPENDICULAR TO IT) ELASTICALLY PER SECOND OVER AN AREA 1 m2 WITH A SPEED OF 104 m/s THE PRESSURE EXERTED BY THE GAS MOLECULES WILL BE OF THE ORDER OF:

103 N/m2

104 N/m2

108 N/m2

1016 N/m2

Answer 1

The pressure exerted by the gas molecules is in the order of 2 N/m^2.

Explanation:

Magnitude of change in momentum per collision is given below.

Magnitude of change in momentum = 2mv

We know that pressure is defined as:

Pressure = Force / Area = N(2mv)1

               = 10^22 × 2 × 10^−26 × 10^4 / 1

               =  2 N/m^2

Thus the pressure exerted by the gas molecules is in the order of 2 N/m^2.

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