Question

A cylinder contains 3.5 L of oxygen at 350 K and 2.7 atm . The gas is heated, causing a piston in the cylinder to move outward. The heating causes the temperature to rise to 620 K and the volume of the cylinder to increase to 9.1 L.What is the gas pressure? P= _____atm

Answers

  1. Answer:

    The pressure is P_2 = 1.84 \ a.t.m

    Explanation:

    From the question we are told that

       The first  volume of  is  v_1 = 3.5 \ L

       The first  pressure is  P_1 = 2.7 \ a.t.m

       The first  temperature is  T_1 = 350 \ K

        The  new temperature is  T_2 = 620 \ K

         The  new volume is  V_2 = 9.1 \ a.t.m

    Generally according to the combined gas law we have that

          \frac{P_1 V_1 }{T_1 } = \frac{P_2 V_2 }{T_2 }

    =>  P_2 = \frac{P_1 * V_1 * T_2 }{T_1 * V_2 }

    =>    P_2 = \frac{ 2.7 * 3.5 * 620 }{ 350 * 9.1 }

    =>  P_2 = 1.84 \ a.t.m

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