find the kinetic energy of 5 litre of a gas at STP given standard pressure is 1.013 into 10 to the power 5 Newton per metre square

1.52 kJ

Explanation:

Total kinetic energy in gas K = 3NkT/2 where N = number of molecules, K = Boltzmann constant and T = temperature.

Also from the ideal gas law, PV = NkT

substituting PV into K above

K = 3PV/2 where P = pressure = 1.013 × 10⁵ N/m² and V = volume of gas = 5 litres = 5 dm³ = 5 × 10⁻³ m³

K = 3 × 1.013 × 10⁵ N/m² × 5 × 10⁻³ m³/2

= 1519.5 J

= 1.5195 kJ

≅ 1.52 kJ

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