Question

Calculate the internal energy of a system (in kiloJoules) that absorbs 14.73 kJ while being compressed with a pressure of 1.54 atm from 5.72 L to 1.0 L. Answer to one decimal space.

Answer 1

The internal energy of a system : 21.9 kJ

Further explanation

The laws of thermodynamics 1 state that energy can be changed but cannot be destroyed or created

The equation is:

ΔU=Q+W

Energy owned by the system is expressed as internal energy (U)

The sign rules for heat and work are set as follows:

• The system receives heat, Q +

• The system releases heat, Q -

• The system does work, W -

• the system accepts work, W +

The system absorbs 14.73 kJ⇒Q=+14.kJ

The system compressed⇒work done on the gas⇒W=+

W=-PΔV

`\tt W=-1.54(1-5.720)\\\\W=7.2688`

`\tt internal~energy(\Delta U)=Q+W\\\\\Delta U=14.73+7.2688\\\\\Delta U=21.9`