Agas‑filled weather balloon with a volume of 58.0 l is held at ground level, where the atmospheric pressure is 771 mmhg and the temperature is 24.0 ∘c . the balloon is released and rises to an altitude where the pressure is 0.0571 bar and the temperature is −6.94 ∘c . calculate the weather balloon's volume at the higher altitude.

The balloon's volume at higher altitude is 935.4 L

Explanation:

Step 1: Data given

Volume = 58.0 L

Atmospheric pressure = 771 mmHg = 1.01447 atm

Temperature = 24.0 °C = 297.15 Kelvin

When the balloon is released , it has a pressure of 0.0571 bar (= 0.0563533185 atm)

Temperature = -6.94 °C ( = 266.21 Kelvin)

Step 2: Calculate the volume

P*V=n*R*T   with n and R are constant

(P1*V1)/ T1 = (P2*V2)/ T2

with P1 = 771 mmHg = 1.01447 atm

with V1 = 58.0 L

with T1 = 24.0 °C = 297.15 Kelvin

with P2 = 0.0571 bar (= 0.0563533185 atm)

with V2 = TO BE DETERMINED

with T2 = -6.94 °C ( = 266.21 Kelvin)

V2 = (P1 * V1 * T2 )/( T1 * P2)

V2 = (1.01447 atm * 58.0 L * 266.21 K) / (297.15 K * 0.0563533185 atm)

V2 =935.4 L

The balloon's volume at higher altitude is 935.4 L

answer

fusion: the energy source of stars. the energy released from the collapse of the gas into a protostar causes the center of the protostar to become extremely hot. when the core is hot enough, nuclear fusion commences. fusion is the process where two hydrogen atoms combine to form a helium atom, releasing energy.

hope it