At $300 \ K$ temperature and $1 \ atm$ pressure,the weight of $1 \ L$ of a gas is $2 \ g$. If the pressure is changed to $0.75 \ atm$,at what temperature in $K$ will the weight of $1 \ L$ of the same gas be $1 \ g$?

At constant temperature,in a given mass of an ideal gas,

$A$ container is filled with nitrogen gas at a certain temperature and pressure. The mass of the gas is $0.6 \ g$. Now,the container is filled with another gas at the same temperature and pressure. If the mass of the second gas under the given conditions is $0.73 \ g$,identify the gas.

The value of the gas constant $R$ depends on which of the following?

The densities of $2$ gases are in the ratio $1:2$ and their temperatures are in the ratio $2:1$. What is the ratio of their respective pressures?

$A$ 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?