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A partially inflated balloon contains 50...

A partially inflated balloon contains `500 m^3` of helium at `27^@ C` and `1 atm` pressure. What is the volume of the helium at an altitude of `18000 ft`, where the pressure is `0.5 atm` and the temperature is `-3^@ C` ?

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Verified by Experts

The correct Answer is:
C

`n_1 = n_2`
`:. (p_1 V_1)/(R T_1) = (P_2 V_2)/(RT_2)`
`:. V_2 = ((p_1)/(p_2))((T_2)/(T_1))V_1 =(1/(0.5))((270)/(300))(500)`
=`900 m^3`.
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