Question

A vessel contains 6 x 1029 molecules of a gas per
m3. The mass of each molecule is 5 x 10-27kg. If
the molecules are moving with speed 1 km/sec. The
pressure of gas is​

Answer 1

applying formula, PV = 1/3 mNv²

or, P = 1/3 m (N/V) v²

• where P is pressure
• m is mass of molecule.
• (N/V) is number of molecules per unit volume.
• v is velocity of molecule.

here, m = 5 × 10^-27 Kg,

(N/V) = 6 × 10^29 molecules/m³

v = 1km/sec = 1000 m/s

now, Pressure, P = 1/3 × 5 × 10^-27 kg × (6 × 10^29/m³) × (1000m/s)²

= 5 × 10² × 2 × 10^6 Kg/m/s²

= 10 × 10^8 N/m²

= 10^9 N/m²

hence, pressure of gas in the vessel is 10^9 N/m²

Answer 2

Answer:

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