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Chapter: 11th Chemistry : UNIT 7 : Thermodynamics

Solved Example Problem: First Law of Thermodynamics

Chemistry : Thermodynamics


A gas contained in a cylinder fitted with a frictionless piston expands against a constant external pressure of 1 atm from a volume of 5 litres to a volume of 10 litres. In doing so it absorbs 400 J of thermal energy from its surroundings. Determine the change in internal energy of system.

 

Solution:

 

Given data

q = 400 J

V1=5L

V2 = 10L

 

∆u = q-w (heat is given to the system (+q); work is done by the system(-w) 

 

∆u    q - PdV

            = 400 J - 1 atm (10-5)L

            =400 J - 5 atm L

[∴ 1 L atm = 101.33 J]

=400 J - 5 × 101.33 J

=400 J - 506.65 J

=- 106.65 J

 

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11th Chemistry : UNIT 7 : Thermodynamics : Solved Example Problem: First Law of Thermodynamics |

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11th Chemistry : UNIT 7 : Thermodynamics


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