In the given figure,1 represents isobaric,2 r | vedclass

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

Question

(D) The change in internal energy for an ideal gas is given by $\Delta U = nC_{v}\Delta T$.Since $\Delta U \propto \Delta T$,we compare the temperatur

Vedclass · Accepted Answer

$\Delta U_{1} > \Delta U_{2} > \Delta U_{3}$

Vedclass · Answer

(D) The change in internal energy for an ideal gas is given by $\Delta U = nC_{v}\Delta T$.Since $\Delta U \propto \Delta T$,we compare the temperature changes for the three processes starting from the same initial state $(P_{0}, V_{0})$ to the same final volume $2V_{0}$.For process $1$ (isobaric): $T_{initial} = \frac{P_{0}V_{0}}{nR}$,$T_{final} = \frac{P_{0}(2V_{0})}{nR} = 2T_{0}$. Thus,$\Delta T_{1} = T_{0} > 0$.For process $2$ (isothermal): $T_{initial} = T_{0}$,$T_{final} = T_{0}$. Thus,$\Delta T_{2} = 0$.For process $3$ (adiabatic): Since the gas expands,the temperature decreases,so $T_{final} Comparing the changes: $\Delta T_{1} > \Delta T_{2} > \Delta T_{3}$.Therefore,$\Delta U_{1} > \Delta U_{2} > \Delta U_{3}$.

In the given figure,$1$ represents isobaric,$2$ represents isothermal,and $3$ represents adiabatic processes of an ideal gas. If $\Delta U_{1}, \Delta U_{2}, \Delta U_{3}$ are the changes in internal energy in these processes respectively,then:

Similar Questions

In the given thermodynamic process,which of the following statements is correct?

In the given $PV$ diagram,a system goes from state $P$ to state $Q$ along two different paths. Along path $1$,the system is given $1000 \ J$ of heat. The work done by the system along path $1$ is $100 \ J$ more than the work done along path $2$. How much heat is transferred along path $2$ (in $J$)?

$A$ gas is taken through the cycle $A \to B \to C \to A$ as shown in the figure. What is the net work done by the gas in $J$?

$A$ system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in the figure. If $\Delta U_I$ and $\Delta U_{II}$ are the changes in internal energies in the processes $I$ and $II$ respectively,then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module