1.

A glass bulb of volume 200cc is sealed at 21^(@)c. If the pressure of the gas inside the bulb is 1.25 xx 10^(-4) cmof Hg, calculate the number of molecules inside the bulb. (Avagadro's number = 6.0225 xx 10^(23), R = 8.314 xx 10^(-7) erg/mole - K )

Answer»

SOLUTION :VOLUME V =200 `cm^(3)`, pressure P = `1.25 xx 10^(-4)` cm of Hg
` 1.25 xx 10^(-4) xx 13.6 xx 980 ("dyne")/(cm^(2))`
T= 273 + 27 = 300 K ,
Avogadro.s number , N = 6.0225`xx 10^(23)`,
R = `8.314 xx 10^(7)` erg/mole - K
By ideal gas equation , PV = nRT
n `= (PV)/(RT) = (1.25 xx 10^(-4) xx 13.6 xx 980 xx 200)/(8.314 xx 10^(7) xx 300)` moles
Number of molecules inside the BULB = number of moles X Avogadro.s number
`(1.25 xx 10^(-4) xx 13.6 xx 980 xx 200)/(8.314 xx 10^(7) xx 300) xx 6.0225 xx 10^(23) = 8.018 xx 10^(15)`


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