A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 m 3 at 6 bar and 27° C. The mass of helium in the mixture is g. (nearest integer) Given: R =8.3 JK -1 mol -1 (Atomic masses of H and He are 1 u and 4 u, respectively)

Question

A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125 m 3 at 6 bar and 27° C. The mass of helium in the mixture is g. (nearest integer) Given: R =8.3 JK -1 mol -1 (Atomic masses of H and He are 1 u and 4 u, respectively) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

PV = n text mix RT n text mix =(6 × 12.5/0.083 × 300) ≈ 3 Let mole of He = x Mole of H 2=3- x 4 x +2(3- x )=10 x =2 mol Mass of He =8 g

Q. A $10 g$ mixture of hydrogen and helium is contained in a vessel of capacity $0.0125 m^{3}$ at 6 bar and $2 7^{\circ} C$ . The mass of helium in the mixture is ______g. (nearest integer) Given : $R = 8.3 J K^{- 1} m o l^{- 1}$ (Atomic masses of $H$ and $He$ are $1 u$ and $4 u$ , respectively)

$P V = n_{mix} RT$
$n_{mix} = \frac{6 \times 12.5}{0.083 \times 300} \approx 3$
Let mole of $He = x$
Mole of $H_{2} = 3 - x$
$4 x + 2 (3 - x) = 10$
$x = 2 m o l$
Mass of $He = 8 g$

Q. A 10g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125m3 at 6 bar and 27∘C. The mass of helium in the mixture is ______g. (nearest integer) Given : R=8.3JK−1mol−1 (Atomic masses of H and He are 1u and 4u, respectively)

PV=nmix ​RT nmix ​=0.083×3006×12.5​≈3 Let mole of He=x Mole of H2​=3−x 4x+2(3−x)=10 x=2mol Mass of He=8g

Q. A $10 g$ mixture of hydrogen and helium is contained in a vessel of capacity $0.0125 m^{3}$ at 6 bar and $2 7^{\circ} C$ . The mass of helium in the mixture is ______g. (nearest integer) Given : $R = 8.3 J K^{- 1} m o l^{- 1}$ (Atomic masses of $H$ and $He$ are $1 u$ and $4 u$ , respectively)

$P V = n_{mix} RT$
$n_{mix} = \frac{6 \times 12.5}{0.083 \times 300} \approx 3$
Let mole of $He = x$
Mole of $H_{2} = 3 - x$
$4 x + 2 (3 - x) = 10$
$x = 2 m o l$
Mass of $He = 8 g$