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12/09/2021 11:36 am
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On a ship sailing in pacific ocean where temperature is 23.4°C, a balloon is filled with 2 L air. What will be the volume of the balloon when the ship reaches Indian ocean, where temperature is 26.1°C?
(a) 2.018 L
(b) 2.8 L
(c) 3.5 L
(d) 1.5 L
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12/09/2021 11:43 am
Correct answer: (a) 2.018 L
Explanation:
V1 = 2 L, T2 = (26.1 + 273) K = 299.1 K,
V2 = ?
T1 = (23.4 + 273) K = 296.4 K
From Charle's law
\(\frac{V_1}{T_1}\) = \(\frac{V_2}{T_2}\)
⇒ V2 = \(\frac{V_1T_2}{T_1}\)
⇒ V2 = \(\frac{2L \times 299.1K}{296.4K}\) = 2L x 1.009
= 2.018 L