Q. 12 A gas following the pV聽trajecto... [FREE SOLUTION]

Chapter 21: Q. 12 (page 594)

A gas following the $p V$ trajectory of FIGURE $E X 21 . 12$ does $60 J$ of work per cycle. What is $p_{max}$ ?

Short Answer

Expert verified

The value of $p_{max} = 300 k P a$ .

Step by step solution

Step: 1 Definition of pmax:

In case of varying pressure and volume , work done by a gas can be calculated by calculating the area of P-V curve . In case of triangle area of triangle can be calculated by the following formula .

$A = \frac{1}{2} 脳 b 脳 h$

A is area , b is length of base and h is height of triangle.

Step: 2 Finding the value of pmax:

The area enclosed by the graph is equal to the work done by the gas. That example, if we allow the maximum pressure value to be in $k P a$ , as the figure is a triangle, we have

$W_{o u t} = \frac{(p_{max} 鈭� 100) 鈰� 10^{3} 鈰� (800 鈭� 200) 鈰� 10^{鈭� 6}}{2}$

$p_{max} 鈭� 100 = \frac{2 W_{out}}{6 鈰� 10^{鈭� 1}} 鈬� p_{max} = \frac{2 W_{out}}{6 鈰� 10^{鈭� 1}} + 100 kPa .$

Step: 3 Calculation:

We can substitute the value and calculate as follows.

$p_{max} = \frac{2 脳 60}{0.6} + 100 p_{max} = 300 kPa .$

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91影视

A gas following the $p V$ trajectory of FIGURE $E X 21 . 12$ does $60 J$ of work per cycle. What is $p_{max}$ ?

Short Answer

Step by step solution

Step: 1 Definition of pmax:

Step: 2 Finding the value of pmax:

Step: 3 Calculation:

One App. One Place for Learning.

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91影视

A gas following the pVtrajectory of FIGURE EX21.12does 60Jof work per cycle. What is pmax?

Short Answer

Step by step solution

Step: 1 Definition of pmax:

Step: 2 Finding the value of pmax:

Step: 3 Calculation:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Torque and Rotational Motion

Measurements

Thermodynamics

Energy Physics

Electrostatics

Translational Dynamics

Study anywhere. Anytime. Across all devices.

A gas following the $p V$ trajectory of FIGURE $E X 21 . 12$ does $60 J$ of work per cycle. What is $p_{max}$ ?