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PhysicsQ&A LibraryBalloons need to contain gas lighter than air to float. Water is lighter than air when vaporized (18 g/mol vs. 28.9 g/mol) A) 12 g of water are vaporized and raised to 130C, then contained in a perfectly insulated balloon which holds it at a pressure of 1.5 atm. What volume does the balloon take up once inflated in this manner? B) The balloon is then placed in a vacuum chamber containing only 12 g of ice at -10 C. The balloon is popped and the steam intermingles with the ice. What remains in the chamber after the system has come to thermal equilibrium?L fusion = 333 kJ/kg, L vap = 2260 kJ/kg, c steam = 2090 J/kg*C,c water = 4186 J/kg* C, c ice = 2010 J/kg* CQuestion

Asked Sep 22, 2019

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Balloons need to contain gas lighter than air to float. Water is lighter than air when vaporized (18 g/mol vs. 28.9 g/mol)

A) 12 g of water are vaporized and raised to 130C, then contained in a perfectly insulated balloon which holds it at a pressure of 1.5 atm. What volume does the balloon take up once inflated in this manner?

B) The balloon is then placed in a vacuum chamber containing only 12 g of ice at -10 C. The balloon is popped and the steam intermingles with the ice. What remains in the chamber after the system has come to thermal equilibrium?

L fusion = 333 kJ/kg, L vap = 2260 kJ/kg, c steam = 2090 J/kg*C,

c water = 4186 J/kg* C, c ice = 2010 J/kg* C

Step 1

**Given information:**

Gram molecular weight of water (GMW) = 18 g

Weight of vapour filled in the balloon (w) = 12 g

Pressure at which it is filled (P) = 1.5 atm

Temperature at which the vapour exists (t) = 130 ^{0}C

Step 2

Volume occupied by the vapour at the given conditions be (V) =?

We know that a pressure of 1 atm = 101325 N/m^{2}

Then the pressure 1.5 atm = 151987.5 N/m^{2}

Universal gas constant (R) = 8.314 J/mol. K

Given temperature in kelvin scale is (T) = t + 273 ^{0}K = 130 + 273 = 403 ^{0}K

We know that the ideal gas equation is:

Step 3

Part B:

Given information:

Mass of ice (M) = 12 g = 0.012 kg

Mass of steam (m) = 12 g = 0.012 kg

Temperature of ice (Tice) = -10 0C

Temperature of water (Tsteam) = 130 0C

L fusion = 333 kJ/kg, L vapour = 2260 kJ/kg,

Csteam = 2090 J/kg...

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