If $R = 8.314$,express it with its units.

For $1 \ mol$ of an ideal gas at a constant temperature $T,$ the plot of $(\log \ P)$ against $(\log \ V)$ is a ($P :$ Pressure,$V:$ Volume)

$A$ 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?

What is the number of molecules in $0.082 \ L$ of an ideal gas kept at a temperature of $400 \ K$ and a pressure of $10 \ atm$?

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

Which one of the following indicates the correct value of the gas constant $R$?