Assertion : 22.4 L of `N_(2)` at NTP and 5.6 L `O_(2)` at NTP contain equal number of molecules.
Reason : Under similar conditions of temperature and pressure all gases contain equal number of molecules.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion.
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.

Answer

D

Explanation

Molar volumr (at NTP) = 22.4L
Now 22.4L of `N_(2) =` volume occupied by one mole of
`N_(2) = 28g = 6.022 xx 10^(23)` molecules .
Similarly , `O_(2) = 2 xx 16 = 32 g`
`32 g = 6.022 xx 10^(23)` molecules = 22.4L
`therefore 22.4L = 6.022 xx 10^(23) ` or `5.6 L = (6.022 xx 10^(23) xx 5.6)/(22.4) = (1)/(4) xx 6.022 xx 10^(23)`
According to Avogadro.s hypothesis equal volume of all gases contain equal no. of molecules under similar condition of temperature and pressure.