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

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

Step-by-step 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

`(P_1 V_1 )/(T_1 ) = (P_2 V_2 )/(T_2 )`

=>
`P_2 = (P_1 * V_1 * T_2 )/(T_1 * V_2 )`

=>
`P_2 = ( 2.7 * 3.5 * 620 )/( 350 * 9.1 )`

=>
`P_2 = 1.84 \ a.t.m`