1. If 0.321 moles of gas were generated by a reaction and collected in a 500.0 m

Question

1. If 0.321 moles of gas were generated by a reaction and collected in a 500.0 mL evacuated flask. What would the pressure be in that flask at 295 K? 2. You fill a balloon with 0.456 moles of helium in a room that is 21.0 and the pressure is 774.2 mmHg. What is the volume of that balloon? 3. A 2.0 liter soda bottle that is filled with air only is tightly capped in the fridge at 16 and 75 8.4 torr. If the bottle is left in the trunk of a car and heats up to 711°C, what is the pressure in the bottle after it warms up?

Explanation / Answer

1. PV = nRT
    V   = 500ml = 0.5L
    T   = 295K
    n   = 0.321 moles
    P   = nRT/V
        = 0.321*0.0821*295/0.5
        = 15.55atm
2. PV = nRT
     n = 0.456moles
     P = 774.2/760   = 1.02atm
     T = 21+273      = 294K
     V = nRT/P
        = 0.456*0.0821*294/1.02   = 10.8L
3. initial                                            final
   T1 = 1.6+273 = 274.6K              T2 = 71.1+ 273 = 344.1K
    P1 = 758.4 torr                           P2 =
                    P1/T1   =   P2/T2
                     P2     =   P1T2/T1
                            =   758.4*344.1/274.6 = 950.34torr

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