A spherical balloon of radius 3 cm containing helium gas has a pressure of 48 10^-3 bar. At the same temperature, the pressure, of a spherical balloon of radius 12 cm containing the same amount of ga…

Question

A spherical balloon of radius 3 cm containing helium gas has a pressure of 48 10^-3 bar. At the same temperature, the pressure, of a spherical balloon of radius 12 cm containing the same amount of gas will be 10^-6 bar.

Accepted Answer

Correct answer: 750. 750 JEE Main 2020 At constant temperature and number of moles P_1V_1=P_2V_2 P_1=48 10^-3 bar ;V_1= 43 (3 )^3 v_2= 43 (12 )^3 P_2= P_1V_1V_2= 48 10^-3 (3 )^3 (12 )^3 = 48 10^-364=7.5 10^-4=750 10^-6 bar

$A spherical balloon of radius 3 cm containing helium gas has a pressure of 48 \times 10^{- 3} bar. At the same temperature, the pressure, of a spherical balloon of radius 12 cm containing the same amount of gas will be \times 10^{- 6} bar.$

Solution

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