6) Find kinetic energy of 3 litre of a gas at S.T.P given standard pressure is 1.013 x 105 N/m2
Answers
We have to find the kinetic energy of 3 litre of a gas at STP and standard pressure is 1.013 × 10⁵ N/m²
solution : volume of gas , V = 3 litres = 3 × 10¯³ m³ [ as 1 litre = 10¯³ m³ ]
pressure of gas, P = 1.013 × 10⁵ N/m²
according to kinetic theory of gases,
kinetic energy of an ideal gas is given by, K.E = 3/2 PV
⇒K.E = 3/2 × 3 × 10¯³ × 1.013 × 10⁵
= 4.5 × 1.013 × 10²
= 4.5585 × 10²
= 455.85 J
Therefore the kinetic energy of gas is 455.85 J
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