An evacuated glass vessel weighs 40 . 0g when empty, 135 . 0g when...

An evacuated glass vessel weighs

40 . 0g

when empty,

135 . 0g

when filled with a liquid of density

0 . 95g{mL}^{- 1}

and

40 . 5g

when filled with an ideal gas at

0 . 82atm

250K

. The molar mass of the gas in

{gmol}^{- 1}

is : (Given :

R = 0 . 082L{atmK}^{- 1}{mol}^{- 1}

)

Options

A $35$
B $50$
C $75$
D $125$

Correct answer

D. $125$

Step-by-step solution

Weight of gas $= 40 . 5 - 40 = 0 . 5g$

Mass of liquid $= 135 . 5 - 40 = 95g$ .

Volume of glass vessel $= \dfrac{95 . 0g}{0 . 95g / ml}$

$= 100ml .</p><p>$ ∴ PV = \left(\dfrac{W}{M} $\right)$ RT $</p><p>\left(0 . 82atm\right)$ \left(100 \times {10}^{- 3}\right) $= \left(\dfrac{0 . 5}{M}\right)\left(0 . 082\right)\left(250\right)$

M = 125g / mol

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