21 1 pt A helium-filled balloon of the type used in long -distance ftlying conta

Question

21 1 pt A helium-filled balloon of the type used in long -distance ftlying contains 420,000 1.2 x 10" L) of helium Suppose you fill the balloon with belium on the ground, where the pressure is 757 m Hg and the temperature is 14.7 °c. w 600. mm Hg and the temperature is -33 C,what volume is occupied by the helium gas? Assume the pessure of 2 miles, where the peessure is only inside the balloon matches the esternal pressure. Question 4 Question 5 Iben attempts remaining t Predousext 1/8 item MacBook Pro

Explanation / Answer

Number of moles remains same

Pressure P = 757 mmHg x 1 atm/760 mmHg = 0.996 atm

Temperature T = 14.7 °C + 273 = 287.7 K

From the ideal gas equation

n = PV/RT = (0.996 atm x 1.2 x 10^7 L) / (0.0821 L-atm/mol-K x 287.7 K)

n = 506008.212 moles

At a higher altitude

Pressure P = 600 /760 = 0.7894 atm

Temperature T = - 33 + 273 = 240 K

V = nRT/P

= 506008.212*0.0821*240/0.7894

= 12630334.189 L

= 1.263 * 10^7 L

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