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Kryger [21]
3 years ago
12

A sample of Freon-12 (CF2Cl2) occupies 2.842 x 101 L at 331 K and 2.525 x 102 kPa. Find its volume (in L) at standard temperatur

e and pressure (STP).
Chemistry
1 answer:
Angelina_Jolie [31]3 years ago
3 0
We have to first find the number of moles of Freon-12 in the sample using the ideal gas law equation
PV = nRT
n = \frac{PV}{RT}
since the number of moles at both conditions given and at stp we can write the following formula 
\frac{P1V1}{RT1} =  \frac{P2V2}{RT2}
where parameters for the given conditions are on the left side and parameters for STP conditions are on the right side of the equation
where P1 - pressure - 252.5 kPa
V1 - volume - 28.42 x 10⁻³ m³ 
R - universal gas constant 
T1 - 331 K

STP conditions 
P2 - 101 325 Pa
T2 - 273 K

substituting these values in the equation 

\frac{252 500Pa*28.42*10 ^{-3}m^{3}  }{R*331K} =  \frac{101325 Pa*V}{R*273 K}

V = 58.41 L
Volume at STP is 58.41 L
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The volume is  V_2 =15.33 \  L

Explanation:

From the question we are told that

    The number of moles of the gas is  n_1 = 2.10 \  moles

      The volume of the gas is  V  =  46.0 \  L

        The  of moles of the gas that leaked is  n_2 =  0.700 \  mol

Generally from the ideal gas law

      PV  =  nRT        

Generally at constant pressure and temperature

        \frac{V}{n}  =  constant

So   \frac{V_1 }{n_1}  = \frac{V_2 }{n_2}

=>    V_2 = \frac{ V_1 *  n_2 }{ n_1}

=>    V_2 = \frac{  46.0 *  0.700  }{ 2.10 }  

=>    V_2 =15.33 \  L

             

     

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