Question #8c472

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Answer 1 · 2014-02-25T02:58:18

The volume of the balloon will be 7.8 × 10⁷ L.

This is a combined gas law problem:

#(P_1V_1)/T_1 = (P_2V_2)/T_2#

#P_1# = 1 atm = 760 mm Hg
#V_1# = 2.8 × 10⁷ L
#T_1# = 0.00 °C = 273.15 K

#P_2# = 243 mm Hg
#V_2# = ?
#T_2# = -29.0 °C = 244.2 K

#(P_1V_1)/T_1 = (P_2V_2)/T_2#

#V_2 =V_1 × P_1/P_2 × T_2/T_1 = 2.8 × 10^-7 L × (760 mm Hg)/(243 mm Hg) × (244.2 K)/(273.15 K)# = 7.8 × 10⁷ L

Note: The answer has only two significant figures because V₁ has only two significant figures.