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3 years ago

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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

1 answer:

Effectus [21]3 years ago

4 0

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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