Question

A gas is filled in the glass bulb of capacity 10 litre as shown in figure at 300 K
Density of glycerin = 2.72 g/ml.
Density of mercury = 13.6 g/ml



Now, select the correct statement(s) among the following:
(A) pressure of the gas is 3.28 atm.
(B) pressure of the gas is 0.342 atm.
(C) moles of the gas in the bulb are 0.34
(D) moles of the gas in the bulb are 1.33

Answer 1

(B) pressure of the gas is 0.342 atm is the correct option.

Explanation:

1 atm=760mmHg

760mmHg=mm glycerine$\frac{density of glycerine}{density of Hg}$

760mmHg=mm glycerine($\frac{2.72}{13.6}$)=3800mmHg

$P{gas}=P.} -h$

=3800mm-2.5$x10^{3} mm$

=3800-2500

=1300mm

$P_{gas} =\frac{1300}{3800} =0.34 atm$

PV=nRT

$n=\frac{PV}{RT}$

$n=\frac{0.34x10}{0.0821x300} = 0.138mol$