$0.5 \, mol$ of gas $A$ and $x \, mol$ of gas $B$ exert a pressure of $200 \, Pa$ in a container of volume $10 \, m^3$ at $1000 \, K$. Given $R$ is the gas constant in $J \, K^{-1} \, mol^{-1}$,$x$ is

Which of the following statements is incorrect?

An air tank has a volume of $10 \, L$ and is filled with air at a pressure of $200 \, atm$. If an adult human breathes in $0.50 \, L$ of air per breath at $1 \, atm$ pressure and $37 \, ^\circ C$,how many breaths can be taken from this tank? (Assume temperature remains constant)

At $300 \, K$ temperature and $1 \, atm$ pressure,the volume of $7.0 \, g$ of a gas is $4.1 \, L$. What is the molar mass of the gas?

If $P$,$V$,$M$,$T$ and $R$ are pressure,volume,molar mass,temperature and gas constant respectively,then for an ideal gas,the density is given by

At constant pressure,the volume of a gas is $300 \ mL$. If the temperature is changed from $27 \ ^oC$ to $-3 \ ^oC$,what will be the final volume in $mL$?