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Chapter 19: Q. 3 (page 543)

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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Most popular questions from this chapter

a. 100 J of heat energy are transferred to 20 g of mercury. By how much does the temperature increase?

b. How much heat is needed to raise the temperature of 20 g of water by the same amount?

A container holds 1.0 g of argon at a pressure of 8.0 atm.

a. How much heat is required to increase the temperature by 100°C at constant volume?

b. How much will the temperature increase if this amount of heat energy is transferred to the gas at constant pressure?

nmoles of an ideal gas at temperature T1and volume localid="1648032029846" V1expand isothermally until the volume has doubled. In terms of n,T1and V1, what are (a) the final temperature, (b) the work done on the gas, and (c) the heat energy transferred to the gas?

0.10molof nitrogen gas follow the two processes shown in FIGURE P19.58. How much heat is required for each?

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a. During this process, are (i) ∆T, (ii) W, and (iii) Q greater than, less than, or equal to zero? Explain.

b. Draw a pV diagram showing the process.
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