Please give me a detail explanation. I am really poor at chemistry. Thank you!When released at sea level at 25 ℃ and 1 atm pressure, a certain weather balloon containing He has a radius of 1.5 m. At its maximum altitude, where the temperature is -20 ℃, the radius increases to 4.0 m. What is the pressure inside the balloon at its maximum altitude?

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Asked Sep 14, 2019
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Please give me a detail explanation. I am really poor at chemistry. Thank you!

When released at sea level at 25 ℃ and 1 atm pressure, a certain weather balloon containing He has a radius of 1.5 m. At its maximum altitude, where the temperature is -20 ℃, the radius increases to 4.0 m. What is the pressure inside the balloon at its maximum altitude?

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Expert Answer

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Step 1

The pressure inside the balloon after the radius increased can be calculated using the ideal gas equation.  The given initial and final values of the balloon can be noted down as follows:

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initial Pressure (P)1atm Temperature (T)25°C+273K| -298K Radius ()1.5m 4 Volume V)u3 3 - T:(1.5)3 3 final: Pressure (P ?atm Temperature (T)=-20'C+273K =253K Radius(r 4.0m Volume V)= 4 7(4.0

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Step 2

The given values has to be substituted in the ideal gas equation to ...

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Ideal gasequation: PV_PV T2 P.VT Р- TV substituting the values (latm)15253K) 3 (298K)40) (1.5) (253) (298)(4.0) 853.875 -atm 19072 0.045atm

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