If $\gamma = 2.5$ and volume is equal to $\frac{1}{8}$ times to the initial volume then pressure $P' $ is equal to (Initial pressure $= P$)
A$P' = P$
B$P' = 2P$
C$P' = P \times {(2)^{15/2}}$
D$P' = 7P$
Medium
Download our app for free and get started
C$P' = P \times {(2)^{15/2}}$
c (c)$\frac{{{P_2}}}{{{P_1}}} = {\left( {\frac{{{V_1}}}{{{V_2}}}} \right)^\gamma } \Rightarrow \frac{{P'}}{P} = {(8)^{5/2}} \Rightarrow P' = P \times {(2)^{15/2}}$
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.*
An ideal gas goes from state $A$ to state $B$ via three different processes as indicated in the $P-V$ diagram. If $Q_1, Q_2, Q_3$ indicate the heat absorbed by the gas along the three processes and $\Delta U_1, \Delta U_2, \Delta U_3$
indicate the change in internal energy along the three processes respectively, then
If the amount of heat given to a system be $35$ joules and the amount of work done by the system be $ - 15$ joules, then the change in the internal energy of the system is .... $joules$
Half mole of an ideal monoatomic gas is heated at constant pressure of $1\, atm$ from $20\,^oC$ to $90\,^oC$. Work done by has is close to ..... $J$ (Gas constant $R = 8.31\, J/mol.K$)
An engine has an efficiency of $1/6.$ When the temperature of sink is reduced by $62^o C,$ its efficiency is doubled. Temperatures of the source is ....... $^oC$
Initial pressure and volume of a gas are $ P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $ V$. The final pressure of gas will be
One mole of an ideal gas undergoes two different cyclic processes I and II, as shown in the $P-V$ diagrams below. In cycle I, processes $a, b, c$ and $d$ are isobaric, isothermal, isobaric and isochoric, respectively. In cycle II, processes $a^{\prime}, b^{\prime}, c^{\prime}$ and $d^{\prime}$ are isothermal, isochoric, isobaric and isochoric, respectively. The total work done during cycle I is $W_I$ and that during cycle II is $W_{I I}$. The ratio $W_I / W_{I I}$ is . . . .