A system changes from the state (P_1, V_1) to | vedclass

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

Question

(C) The work done by a system during a process is equal to the area under the $PV$ graph.In this case,the area under the line represents a trapezium.T

Vedclass · Accepted Answer

$12 	imes 10^5 	ext{ J}$

Vedclass · Answer

(C) The work done by a system during a process is equal to the area under the $PV$ graph.In this case,the area under the line represents a trapezium.The parallel sides of the trapezium are the pressure values $P_1 = 1 	imes 10^5 	ext{ N/m}^2$ and $P_2 = 5 	imes 10^5 	ext{ N/m}^2$.The height of the trapezium is the change in volume,$\Delta V = V_2 - V_1 = 5 	ext{ m}^3 - 1 	ext{ m}^3 = 4 	ext{ m}^3$.The area of a trapezium is given by $	ext{Area} = \frac{1}{2} 	imes (	ext{sum of parallel sides}) 	imes 	ext{height}$.$	ext{Work done} = \frac{1}{2} 	imes (1 	imes 10^5 + 5 	imes 10^5) 	imes (5 - 1)$$	ext{Work done} = \frac{1}{2} 	imes (6 	imes 10^5) 	imes 4$$	ext{Work done} = 3 	imes 10^5 	imes 4 = 12 	imes 10^5 	ext{ J}$.

$A$ system changes from the state $(P_1, V_1)$ to $(P_2, V_2)$ as shown in the figure. What is the work done by the system?

Similar Questions

An ideal monoatomic gas is taken round the cycle $ABCDA$ as shown in the following $P-V$ diagram. The work done during the cycle is

On a $TP$ diagram,two moles of an ideal gas perform processes $AB$ and $CD$. If the work done by the gas in the process $AB$ is two times the work done in the process $CD$,then what is the value of $T_1/T_2$?

$A$ gas is taken through a cyclic process $ABCA$ as shown in the figure. If $2.4 \, cal$ of heat is given in the process,what is the value of $J$ in $J/cal$ (mechanical equivalent of heat)?

Which of the following graphs correctly represents the thermodynamic processes shown?

$A$ thermodynamic system is taken from state $A$ to $B$ along $ACB$ and is brought back to $A$ along $BDA$ as shown in the $PV$ diagram. The net work done during the complete cycle is given by the area

Vedclass Test Series

Exam Paper Generator

Online Exam Module