Question

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

Answer 1

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

`V=kT`

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,

`V_1=kT_1`
`V_2=kT_2`

We can express both equation as k = V/T

`k=(V_1)/(T_1)=(V_2)/(T_2)`

Substitute the given values to the formula :

`(0.8)/(400)=(0.3)/(T_2)`

Then solve for the value of T2 :

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

`(400T_2)*(0.8)/(400)=(400T_2)*(0.3)/(T_2)`
`0.8T_2=120`
`T_2=(120)/(0.8)=150`

Therefore the answer is 150 degrees