Given is the graph between `(PV)/T` and P for 1 gm of oxygen gas at two different temperatures `T_(1) and T_(2)` Fig. Given, density of oxygen `= 1.427 kg m^(-3)`. The value of `(PV)//(T)` at the point A and the relation between `T_(1) and T_(2)` are respectively :

Options

A. `0.259J K^(-1)and T_(1)ltT_(2)`
B. `8.314gJ mol^(-1)K^(-1)and T_(1)gtT_(2)`
C. `0.259JK^(-1)and T_(1)gtT_(2)`
D. `4.28gJK^(-1)and T_(1)ltT_(2)`

Answer

C

Explanation

`PV =muRT=m/MRT,`
where m = mass of the gas
and `m/M mu` = number of moles.
`(PV)/(T)=(1g)/(32 g mol^(1))xx8.31 J mol ^(-1)K^(-1)=0.259 JK^(-1)`
Also, `T_(1)gtT_(2)`