A weather balloon filled with hydrogen at 1 atm and 27°C has volume equal to 1200 litres. On ascending, it reaches a place where temperature is -23°C and pressure is 0.5 atm. The volume of the balloon is

Question

A weather balloon filled with hydrogen at 1 atm and 27°C has volume equal to 1200 litres. On ascending, it reaches a place where temperature is -23°C and pressure is 0.5 atm. The volume of the balloon is (A) 24000 litres (B) 20000 litres (C) 10000 litres (D) 12000 litres

Tardigrade Admin · Accepted Answer

(P1 V1/T1) = (P2 V2/T2) (1 × 12000/273 + 27) =(0.5 × V2/273 -23) On solving ; V2 = 20,000 litres.

Q. A weather balloon filled with hydrogen at 1 atm and 27 $^{\circ}$ C has volume equal to 1200 litres. On ascending, it reaches a place where temperature is -23 $^{\circ}$ C and pressure is 0.5 atm. The volume of the balloon is

24000 litres

20000 litres

10000 litres

12000 litres

$\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}}$
$\frac{1 \times 12000}{273 + 27} = \frac{0.5 \times V _{2}}{273 - 23}$
On solving ; $V_{2}$ = 20,000 litres.

Q. A weather balloon filled with hydrogen at 1 atm and 27∘C has volume equal to 1200 litres. On ascending, it reaches a place where temperature is -23∘C and pressure is 0.5 atm. The volume of the balloon is