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Juli2301 [7.4K]
3 years ago
5

A cylinder, with a piston pressing down with a constant pressure, is filled with 2.10 moles of a gas (n1), and its volume is 46.

0 L (V1). If 0.700 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?
Chemistry
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

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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