In the cyclic process shown in the figure,the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The work done by the gas in a cyclic process is equal to the area enclosed by the $P-V$ diagram.From the figure,the process forms a right-angled t

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(D) The work done by the gas in a cyclic process is equal to the area enclosed by the $P-V$ diagram.From the figure,the process forms a right-angled triangle.The base of the triangle is the change in volume: $\Delta V = 4V_1 - V_1 = 3V_1$.The height of the triangle is the change in pressure: $\Delta P = 7P_1 - P_1 = 6P_1$.The area of the triangle is given by: $	ext{Area} = \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$.Substituting the values: $	ext{Work done} = \frac{1}{2} 	imes (3V_1) 	imes (6P_1) = \frac{18}{2} P_1V_1 = 9 P_1V_1$.Thus,the work done by the gas in one cycle is $9 P_1V_1$.

In the cyclic process shown in the figure,the work done by the gas in one cycle is (in $,{P_1}{V_1}$)

Similar Questions

$A$ given mass of a gas expands from a state $A$ to the state $B$ by three paths $1, 2$ and $3$ as shown in the $T-V$ indicator diagram. If $W_1, W_2$ and $W_3$ respectively be the work done by the gas along the three paths,then

Consider the $P-V$ diagram for $1$ mole of an ideal monatomic gas shown in the figure. Which of the following statements is/are true?

$A$ thermodynamic system undergoes a cyclic process $PQRSP$. The total work done by the system is..... $J$.

$A$ sample of gas expands from $V_1$ to $V_2$. In which of the following processes will the work done be greatest?

$A$ thermodynamic system is taken through the cycle $ABCD$ as shown in the figure. Heat rejected by the gas during the cycle is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module