A balloon is filled at 27°C and 1 atm pressure by 50 m3 He. At -3°C and 0.5 atm pressure, the volume of He will be

Question

A balloon is filled at 27°C and 1 atm pressure by 50 m3 He. At -3°C and 0.5 atm pressure, the volume of He will be (A) 700 m3 (B) 900 m3 (C) 1000 m3 (D) 500 m3

Tardigrade Admin · Accepted Answer

(p1 V1/T1)=(p2 V2/T2) or V2=(p1 V1 T2/p2 T1) ∴ V2 =(1 × 500 ×(273-3)/0.5 ×(273+27)) V2 =(1 × 500 × 270/0.5 × 300) V2 =900 m 3

Q. A balloon is filled at $2 7^{\circ} C$ and $1$ atm pressure by $50 m^{3} He$ . At - $3^{\circ} C$ and $0.5$ atm pressure, the volume of $He$ will be

$700 m^{3}$

$900 m^{3}$

$1000 m^{3}$

$500 m^{3}$

$\frac{p _{1} V _{1}}{T _{1}} = \frac{p _{2} V _{2}}{T _{2}}$
or $V_{2} = \frac{p _{1} V _{1} T _{2}}{p _{2} T _{1}}$
$∴ V_{2} = \frac{1 \times 500 \times ( 273 - 3 )}{0.5 \times ( 273 + 27 )}$
$V_{2} = \frac{1 \times 500 \times 270}{0.5 \times 300}$
$V_{2} = 900 m^{3}$

Q. A balloon is filled at 27∘C and 1 atm pressure by 50m3He. At -3∘C and 0.5 atm pressure, the volume of He will be

700m3

900m3

1000m3

500m3