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Charles' Law states that when a sample of gas is kept at a constant pressure, it's volume, V, varies directly with it's temperature, T. A sample of gas at a temperature of 400 degrees has a volume of 0.8liters. If the pressure remains the same, what temperature will change the volume of the gas to 0.3 liters?100 degrees150 degrees200 degrees300 degrees

Sagot :

Charle's Law states that the volume varies directly with it's temperature and can be expressed as :

[tex]V=kT[/tex]

Where V is the volume, T is the temperature and k is some constant

From the given problem, we have :

V1 = 0.8 liters

T1 = 400 degrees

V2 = 0.3 liters

Since k is a constant,

[tex]V_1=kT_1[/tex][tex]V_2=kT_2[/tex]

We can express both equation as k = V/T

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

Substitute the given values to the formula :

[tex]\frac{0.8}{400}=\frac{0.3}{T_2}[/tex]

Then solve for the value of T2 :

Simplify the equation by multiplying 400T2 to both sides of the equation :

[tex](400T_2)\times\frac{0.8}{400}=(400T_2)\times\frac{0.3}{T_2}[/tex][tex]0.8T_2=120[/tex][tex]T_2=\frac{120}{0.8}=150[/tex]

Therefore the answer is 150 degrees

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