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A high-altitude balloon is filled with 1.41 × 10^4 L of hydrogen at a temperature of 21°C and a pressure of 745 torr.

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A high-altitude balloon is filled with 1.41 × 104 L of hydrogen at a temperature of 21°C and a pressure of 745 torr. What is the volume of the balloon at a height of 20 km, where the temperature is -48°C and the pressure is 63.1 torr?

(a) 1.247 × 105 L

(b) 1.66 × 105 L

(c) 1.66 × 104 L

(d) None of these

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Correct answer: (a) 1.247 × 105 L

Explanation:

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

V2 = \(\frac{745 \times 1.41 \times 10^4 \times 225}{294 \times 63.1}\)

= 1.247 × 105 L

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