The temperature of a 500. ml sample of gas increases from 150. k to 350. k. what is the final volume of the sample of gas, if the pressure and moles in the container is kept constant?

pv=nrt; Pressure and moles are constant. p=nr(150k)/.5 L; Pressure initially After temp change pv=nrt; What is volume? v=nr(350k)/p; p is constant so we can substitute from above v=nr(350k)/(nr(150k)/.5 L)) v=350/150/.5 L v=4.66 liters

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BarrettArcher BarrettArcher · Answer 2 · 2019-05-14T06:28:01+02:00

Answer : The final volume of the gas is, 1166.67 ml

Explanation:

According top the Charles' Law, the volume of a gas is directly proportional to the temperature of the gas at constant pressure of the gas and the number of moles of the gas.

[tex]V\propto T[/tex]

or,

[tex]\frac{V_1}{T_2}=\frac{T_1}{T_2}[/tex]

where,

[tex]V_1[/tex] = initial volume of gas = 500 ml

[tex]V_2[/tex] = final volume of gas = ?

[tex]T_1[/tex] = initial temperature of gas = 150 K

[tex]T_2[/tex] = final temperature of gas = 350 K

Now put all the given values in the above formula, we get the final volume of the gas.

[tex]\frac{500ml}{V_2}=\frac{150K}{350K}[/tex]

[tex]V_2=1166.67ml[/tex]

Therefore, the final volume of the gas is, 1166.67 ml