$P_i, V_i$ and $P_f$, $V_f$ are initial and final pressures and volumes of a gas in a thermodynamic process respectively. If $PV^n =$ constant, then the amount of work done is
Aminimum for $n = \gamma $
Bminimum for $n = 1$
Cminimum for $n = 0$
Dminimum for $n = \infty $
Medium
Download our app for free and get started
Dminimum for $n = \infty $
d $\mathbf{P V}^{x}=$ cons. (Polytropic process)
$W=\frac{n R \Delta T}{1-x}$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A student records $\Delta Q, \Delta U \& \Delta W$ for a thermodynamic cycle $A$ $\rightarrow$ $B \rightarrow C \rightarrow A$. Certain entries are missing. Find correct entry in following options.
A total of $48 \mathrm{~J}$ heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by $2^{\circ} \mathrm{C}$. The work done by the gas is : (Given, $\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$.)
One mole of an ideal gas $(\gamma = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is .... $J$ (given $R = 8.3 \,J/mole/K$)