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A Container having $1\ mole$ of a gas at a temperature $27\ ^oC$ has a movable piston which maintains at constant pressure in container of $1\ atm.$ The gas is compressed until temperature becomes $127^oC.$ The work done is ........ $J$ $(C_p\ for\ gas\ is\ 7.03\ cal/mol-K)$
A van der Waal's gas obeys the equation of state $\left(p+\frac{n^2 a}{V^2}\right)(V-n b)=n R T$. Its internal energy is given by $U=C T-\frac{n^2 a}{V}$. The equation of a quasistatic adiabat for this gas is given by
A thermo-dynamical system is changed from state $({P_1},\,{V_1})$ to $({P_2},\,{V_2})$ by two different process. The quantity which will remain same will be
A gas at $NTP$ is suddenly compressed to one-fourth of its original volume. If $\gamma $ is supposed to be $\frac{3}{2}$, then the final pressure is........ atmosphere
A sample of $0.1\, g$ of water at $100^o C$ and normal pressure $(1.013 \times 10^5 N m^{-2} )$ requires $54\ cal $ of heat energy to convert to steam at $100^o C.$ If the volume of the steam produced is $167.1 \,cc,$ the change in internal energy of the sample, is ....... $J$
$Q$ amount of heat is given to $0.5\ mole$ of an ide al mono-atomic gas by a process $TV^n$ constant. Following graph shows variation of temperature with $Q$ . Find value of $n$.
A source supplies heat to a system at the rate of $1000 \,W$. If the system performs work at a rate of $200\,W$. The rate at which internal energy of the system increases $.......\,W$
Consider two containers $A$ and $B$ containing identical gases at the same pressure, volume and temperature. The gas in container $A$ is compressed to half of its original volume isothermally while the gas in container $B$ is compressed to half of its original value adiabatically. The ratio of final pressure of gas in $B$ to that of gas in $A$ is