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

Answer 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

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

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

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

=>  $P_2 = 1.84 \ a.t.m$