An ideal gas on isothermal reversible compression from $10 \ L$ to $5 \ L$ performs $1730 \ J$ of work at $300 \ K$. Calculate the number of moles of gas involved in the compression? $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

$A$ student forgot to add the reaction mixture to the round bottomed flask at $27^{\circ} C$ but instead he/she placed the flask on the flame. After a lapse of time,he realized his mistake,and using a pyrometer he found the temperature of the flask was $477^{\circ} C$. What fraction of air would have been expelled out?

From the following plots,find the correct option.

$A$ gas occupies $10 \ L$ at $0 \ ^{\circ}C$ and $2 \ atm$ pressure. At what temperature will the pressure in the container be $2.5 \ atm$,assuming the volume remains constant (in $^{\circ}C$)?

At $300 \ K$,$22 \ g$ of $CO_2$ gas exerts a pressure of $5 \ atm$. What is the volume of the gas at the same temperature (in $dm^3$)? $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

$A$ gas occupies $0.418 \ L$ at $27 \ ^\circ C$ and $740 \ mm \ Hg$ pressure. What will be its volume at $STP$ in $L$?