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Taya2010 [7]
3 years ago
15

A very flexible helium-filled balloon is released from the ground into the air at 20. ∘C. The initial volume of the balloon is 5

.00 L, and the pressure is 760. mmHg. The balloon ascends to an altitude of 20 km, where the pressure is 76.0 mmHg and the temperature is −50. ∘C. What is the new volume, V2, of the balloon in liters?
Physics
2 answers:
koban [17]3 years ago
5 0

Answer:

V = 38.0 L

Explanation:

As we know that number of moles will remains conserved inside the balloon

so we will have

moles = \frac{PV}{RT}

here we have

\frac{P_1V_1}{RT_1} = \frac{P_2V_2}{RT_2}

now we have

P_1 = 760 mm Hg

P_2 = 76 mm Hg

V_1 = 5.00 L

T_1 = 20^o C = 293 K

T_2 = -50^o C = 223 K

\frac{(760mm Hg)(5L)}{R(293)} = \frac{(76mm Hg)(V)}{R(223)}

V = 38.0 L

____ [38]3 years ago
4 0

Answer : The new volume of of the balloon in liters is

Solution :

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}

where,

P_1 = initial pressure of gas = 760 mm Hg

P_2 = final pressure of gas = 76.0 mm Hg

V_1 = initial volume of gas = 5.00 L

V_2 = final volume of gas = ?

T_1 = initial temperature of gas = 20^oC=273+20=293K

T_2 = final temperature of gas = -50^oC=273+(-50)=223K

Now put all the given values in the above equation, we get the final volume of gas.

\frac{760\times 5.00L}{293K}=\frac{76\times V_2}{223K}

V_2=38.0L

Therefore, the new volume of of the balloon in liters is 38.0

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