A balloon partially filled with helium has a volume of \( 30 \mathrm{~m}^{3} \) at the earth's surface where pressure is 76 cm Hg and temperature is \( 27^{\circ} \mathrm{C} \) . What will be the increase in volume of gas if balloon rises to a height, where pressure is 7.6 cm Hg and temperature is \( -54^{\circ} \mathrm{C} \) ?

A \( 189 \mathrm{~m}^{3} \)

B \( 219 \mathrm{~m}^{3} \)

C \( 300 \mathrm{~m}^{3} \)

D \( 92 \mathrm{~m}^{3} \)

Solution

Correct Answer: Option A

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