Six moles of an ideal gas perform a cycle sho | vedclass

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

Question

(C) The ideal gas equation is $PV = \mu RT$,which implies $P = (\mu R/V)T$. In the $P-T$ graph,lines passing through the origin represent isochoric pr

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(C) The ideal gas equation is $PV = \mu RT$,which implies $P = (\mu R/V)T$. In the $P-T$ graph,lines passing through the origin represent isochoric processes $(V = 	ext{constant})$.Processes $AB$ and $CD$ are straight lines passing through the origin,so volume remains constant during these processes. Thus,$W_{AB} = 0$ and $W_{CD} = 0$.Processes $BC$ and $DA$ are isobaric processes $(P = 	ext{constant})$.Work done in an isobaric process is $W = P\Delta V = \mu R\Delta T$.For process $BC$ (at pressure $P_2$): $W_{BC} = \mu R(T_C - T_B) = 6 	imes R 	imes (2200 - 800) = 6R 	imes 1400 \ J$.For process $DA$ (at pressure $P_1$): $W_{DA} = \mu R(T_A - T_D) = 6 	imes R 	imes (600 - 1200) = -6R 	imes 600 \ J$.Total work done per cycle $W = W_{AB} + W_{BC} + W_{CD} + W_{DA} = 0 + 6R(1400) + 0 - 6R(600) = 6R(800) \ J$.Using $R \approx 8.314 \ J/(mol \cdot K)$,$W = 6 	imes 8.314 	imes 800 \approx 39907 \ J \approx 40 \ kJ$.

Point	Slope of the normal
$A. (7, 2)$	$1. -4\sqrt{2}$
$B. (0, 1/\sqrt{2})$	$2. -8$
$C. (1, -1)$	$3. 4$
$D. (3, \sqrt{2})$	$4. 0$
	$5. -2\sqrt{2}$

Six moles of an ideal gas perform a cycle shown in the figure. If the temperatures are $T_A = 600 \ K, T_B = 800 \ K, T_C = 2200 \ K$,and $T_D = 1200 \ K$,the work done per cycle is ..... $kJ$.

Similar Questions

Match the points on the curve $2y^2 = x + 1$ with the slopes of the normals at those points and choose the correct answer.
Point Slope of the normal
$A. (7, 2)$ $1. -4\sqrt{2}$
$B. (0, 1/\sqrt{2})$ $2. -8$
$C. (1, -1)$ $3. 4$
$D. (3, \sqrt{2})$ $4. 0$
$5. -2\sqrt{2}$

The combination of the gates shown in the figure below produces which gate?

Ground tissue includes

Which of the following can be used to extinguish a fire caused by alkali metals?

$A$ transistor is used as an amplifier in $CB$ mode with a load resistance of $5 \, k\Omega$. The current gain of the amplifier is $0.98$ and the input resistance is $70 \, \Omega$. The voltage gain and power gain respectively are:

Vedclass Test Series

Exam Paper Generator

Online Exam Module