The process CD is shown in the diagram. As th | vedclass

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

Question

(B) The temperature of an ideal gas is given by $PV = nRT$,which implies $T \propto PV$. At point $C$,$P_C = 3p_0$ and $V_C = v_0$,so $T_C \propto (3p

Vedclass · Accepted Answer

Temperature first increases and then decreases

Vedclass · Answer

(B) The temperature of an ideal gas is given by $PV = nRT$,which implies $T \propto PV$. At point $C$,$P_C = 3p_0$ and $V_C = v_0$,so $T_C \propto (3p_0)(v_0) = 3p_0v_0$. At point $D$,$P_D = p_0$ and $V_D = 3v_0$,so $T_D \propto (p_0)(3v_0) = 3p_0v_0$. Since $T_C = T_D$,the temperature at the start and end points is the same. For a linear process $P = mV + c$,the product $PV = V(mV + c) = mV^2 + cV$ is a quadratic function of $V$. The maximum value of this product occurs at the midpoint of the process. Thus,the temperature first increases and then decreases as the system moves from $C$ to $D$.

The process $CD$ is shown in the diagram. As the system is taken from $C$ to $D$,what happens to the temperature of the system?

Similar Questions

$A$ system goes from $P$ to $Q$ by two different paths in the $P-V$ diagram as shown in the figure. Heat given to the system in path $1$ is $1000 \, J$. The work done by the system along path $1$ is more than path $2$ by $100 \, J$. What is the heat exchanged by the system in path $2$?

The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in the figure. If no heat is supplied to or extracted from the gas,then the change in the internal energy of the gas will be $............\,J$.

In the given figure,two processes $A$ and $B$ are shown by which a thermodynamic system goes from an initial state $i$ to a final state $f$. If $\Delta Q_A$ and $\Delta Q_B$ are respectively the heats supplied to the systems,then:

One mole of an ideal monoatomic gas is taken along the path $ABCA$ as shown in the $PV$ diagram. The maximum temperature attained by the gas along the path $BC$ is given by

An ideal gas is taken from state-$1$ to state-$2$ through paths $A, B, C$ and $D$ as shown in the $P-V$ diagram. Let $Q, W$ and $\Delta U$ represent the heat supplied,work done,and change in internal energy respectively. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module