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Find the kinetic energy of 5 liters of a gas at STP, given the standard pressure is 1.013 × 105 N/m2.

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Question

Find the kinetic energy of 5 litres of a gas at STP, given the standard pressure is 1.013 × 105 N/m2.

Numerical
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Solution

Given: P = 1.013 × 105 N/m2, V = 5 litres = 5 × 10-3 m3 

E = `3/2"PV"`

`= 3/2(1.013xx10^5 "N"/"m"^2)(5xx10^-3 "m"^3)`

= 7.5 × 1.013 × 102 J

= 7.597 × 102 J

This is the required energy.

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Chapter 3: Kinetic Theory of Gases and Radiation - Exercises [Page 74]

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Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 3 Kinetic Theory of Gases and Radiation
Exercises | Q 17 | Page 74

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