The molar mass of oxygen and sulphur dioxide are 32 and 64 respectively. If `1xx10^-3 m^3` at `25^@C` and `1.013xx10^5` Pa pressure contains N molecules, then the number of molecules in `2xx10^-3 m^3` sulphur dioxide under same condition of temperature and pressure is

Options

A. `(3N)/(2)`
B. `(N)/(2)`
C. 2N
D. 6N

Answer

C

Explanation

According to Avogadro hypothesis, equal volumes of all gases under similar conditions of temperature and pressure contain equal number of molecules.
Therefore, `1xx10^(-3)m^(3)` of `SO_2` or `O_2` contains N molecules at `25^@C and 1.013xx10^(5)Pa,` Pressure then `2xx10^(-3)m^(3)` of `SO_2` at same temperature and pressure contains 2N number of molecules.