A gas-filled weather balloon has a volume of 53.0 l at ground level, where the pressure is 751 mmhg and the temperature is 25.0 °c. after being released, the balloon rises to an altitude where the temperature is - 2.01 °c and the pressure is 0.511 atm. what is the weather balloon's volume at the higher altitude?

We shall apply gas law formula

P₁V₁ / T₁ = P₂V₂/T₂

P₁, V₁, T₁ are initial pressure, volume and temperature and P₂, V₂, T₂ are final pressure, volume and temperature of the gas

P₁ = 751 mmHg, P₂ =.511 x 760 mmHg = 388.36 mmHg

T₁ = 273 + 25 = 298K, T₂ = 273 - 2.01 = 270.93 K

V₁ = 53 L, P₂ = ?

Putting the given values in the equation

751 x 53 / (273 + 25) = 388.36 x V₂ / 270.93

V₂ = 93.18 L.