In a thermodynamics process, pressure of a fixed mass of a gas is changed in such a manner that the gas releases $20 J$ of heat and $8J$ of work is done on the gas. If the initial internal energy of the gas was $30J.$ The final internal energy will be ...... $J$
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In the figure shown, amount of heat supplied to one mole of an ideal gas is plotted on the horizontal axis and amount of work done by gas is drawn on vertical axis. Assuming process be isobaric i.e. gas can be
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 .... $joules$
The above $P-V$ diagram represents the thermodynamic cycle of an engine, operating with an ideal monatomic gas. The amount of heat, extracted from the source in a single cycle is
If one mole of an ideal gas goes through the process $A \rightarrow B$ and $B \rightarrow C .$ Given that $T _{ A }=400\, K ,$ and $T _{ C }=400 \,K .$ If $\frac{ P _{ B }}{ P _{ A }}=\frac{1}{5},$ then find the heat supplied to the gas (in $J$)
An ideal gas is subjected to a thermodynamic process $PV^{2.5} = 0.40$ where $P$ is in $Pa$ and $V$ is in $m^3$.What is the slope of the $P-V$ curve with volume plotted against $x-$ axis at $V=1\, m^3$ ?
An ideal monoatomic gas with pressure $P$, volume $V$ and temperature $T$ is expanded isothermally to a volume $2\, V$ and a final pressure $P_i$. If the same gas is expanded adiabatically to a volume $2\,V$, the final pressure is $P_a$ . The ratio $\frac{{{P_a}}}{{{P_i}}}$ is