Question

At one atmosphere of pressure and 25°C, a hot air balloon has a volume of 4,000 liters. While still tied to the ground, the air in the balloon is heated to 68°C. When the balloon is untied, ready to float away, it has a new volume of
A) 1088 liters
B) 3496 liters
C) 4577 liters
D) 9280 liters

Answer 1

Answer:

C) 4577 Liters

Explanation:

As we know that pressure inside the balloon will remain constant so here by ideal gas equation we can say

$PV = nRT$

now since pressure is constant so we will have

$\frac{V}{T} = \frac{nR}{P}$

now for two different temperatures we will have

$\frac{V_1}{T_1} = \frac{V_2}{T_2}$

given that

$T_1 = 25^0C = 25 + 273 = 298 K$

$V_1 = 4000 Ltr$

$T_2 = 68^0 C = 68 + 273 = 341 K$

now from above equation we will have

$\frac{4000}{298} = \frac{V_2}{341}$

$V_2 = 4577 Liters$

Answer 2

Based on the options given, the most likely answer to this query is C) 4577 liters.

Upon computation of the given variables the result seems to be 4577 L

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