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A 3.0 L container holds a sample of hydrogen gas at 300k. If the temperature decreases to 200k and the pressure remains constant what will the volume be

Respuesta :

scme1702
We can apply Charles's law:
V/T = constant

V₁/T₁ = V₂/T₂
V₂ = 3 x 200 / 300
V₂ = 2 L

Answer : The volume will be, 2 L

Solution :

According to the Charles's law, the volume of gas is directly proportional to the temperature of the gas at constant pressure.

[tex]V\propto T[/tex]

or,

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

where,

[tex]V_1[/tex] = initial volume of gas = 3 L

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

[tex]T_1[/tex] = initial temperature of gas = 300 K

[tex]T_1[/tex] = final temperature of gas = 200 K

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

[tex]\frac{3L}{300K}=\frac{V_2}{200K}[/tex]

[tex]V_2=2L[/tex]

Therefore, the volume of gas will be, 2 L

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