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80 J of work are done on the gas in the process shown in Figure EX19.3. What is V1 in cm3 ?

Short Answer

Expert verified

The value of VIis200cm3

Step by step solution

01

Definition of work done

The work done has represented as energy that is transferred between system and environment.

02

Step  2: Finding the volume through work done energy.

As it is isothermal process , work done is positive.

The area of the triangle is

=12∆V×∆p=12×(3V1-V1)(∆p)=12×(2V1)(300×103-100×103)Pa=(100×103)Pa

The area of rectangular is

=∆V×∆p=(V1-V1)(∆p)=(2V1)(100×103-0×103)V1Pa=(2V1)(100×103)Pa

So the total work done is

=(2V1)(100×103)Pa+(2V1)(100×103)Pa=(4V1)(100×103)Pa

Here work done energy is 80J

So the value of isV1=80400×103=200cm3



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