Avery 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, assuming it doesn't break or leak?

38.05 L

Explanation:

To solve this problem use the formula:

                   V1P1T2 = V2P2T1 V2 = V1P1T2/P1T1

where

V1: 5.00 L

P1: 760 mmHg

T1: 20 +273 : 293K  (remember to convert ºC to K)

V2: ?

P2: 76 mmHg

T2: -50 + 273 : 223 K

V2= 5.00L * 760 mmHg * 223 K /( 76 mmHg *293 )

V2 38.05 L

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