When an ideal diatomic gas is heated at constant pressure, fraction of heat energy supplied which in

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11.Thermodynamics

normal

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is

$\frac{2}{5}$

$\frac{3}{5}$

$\frac{3}{7}$

$\frac{5}{7}$

Solution

When a gas is heated at constant pressure then its one part goes to increase the internal energy and another part for work done against external pressure i.e.

$(\Delta Q)_{p}=\Delta U+\Delta W$

$\mu C_{p} \Delta T=\mu C_{v} \Delta T+P \Delta V$

So fraction of energy that goes to increase the internal energy

$\frac{\Delta U}{(\Delta Q)_{p}}=\frac{C_{v}}{C_{p}}=\frac{1}{\gamma}=\frac{5}{7}$

[As $\mathrm{y}=7 / 5$ for diatomic gas]

Standard 11

Physics

An ideal gas is expanding such that $PT^2$ = constant. The coefficient of volume expansion of the gas is :-

normal

In the following indicator diagram, the net amount of work done will be

normal

Which of the following is correct in terms of increasing work done for the same initial and final state

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A system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in figure. If $\Delta U_1$ and $\Delta U_2$ are the changes in internal energies in the processes $I$ and $II$ respectively, then

normal

Choose the incorrect statement from the following

$S1$: The efficiency of a heat engine can be $1$, but the coefficient of performance of a refrigerator can never be infinity

$S2$: The first law of thermodynamics is basically the principle of conservation of energy

$S3$: The second law of thermodynamics does not allow several phenomena consistent with the first law

$S4$: A process, whose sole result is the transfer of heat from a colder to a hotter object is impossible

normal

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas, is

Solution

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