[tex]The \: mass \: measurements \: are \: \\ converted \: to \: high \: and \: low \\ temperature \: gas \: volumes \: and \: \\ Charles's \: Law, \: V = a⋅ T+ b, \: is \\ used \: to \: calculate \: absolute \: zero \\ . An \: algebraic \: method \: is \: used \: to \\ calculate \: absolute \: zero.[/tex]
Charles's law states that at constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. Mathematically, this can be expressed as:
V α T (at constant pressure)
where V is the volume of the gas and T is its absolute temperature.
Now, let's assume that we cool a gas at constant pressure and observe its temperature and volume. As we lower the temperature, we will see that the volume of the gas decreases proportionally. If we extrapolate this behavior back to a hypothetical temperature where the volume of the gas becomes zero, we would arrive at the absolute zero point.
To derive this temperature, we can use the formula for the proportionality constant in Charles's law:
V/T = k (constant for a given sample of gas at constant pressure)
Rearranging, we get:
T = V/k
If we assume that at absolute zero temperature the volume of the gas is zero, we can substitute V=0 in the above equation to get:
T = 0/K = 0
Therefore, according to Charles's law, the absolute zero temperature is zero Kelvin (0 K), which is equivalent to approximately -273.15 degrees Celsius or -459.67 degrees Fahrenheit.
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Explanation:
[tex]The \: mass \: measurements \: are \: \\ converted \: to \: high \: and \: low \\ temperature \: gas \: volumes \: and \: \\ Charles's \: Law, \: V = a⋅ T+ b, \: is \\ used \: to \: calculate \: absolute \: zero \\ . An \: algebraic \: method \: is \: used \: to \\ calculate \: absolute \: zero.[/tex]
Explanation:
Charles's law states that at constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. Mathematically, this can be expressed as:
V α T (at constant pressure)
where V is the volume of the gas and T is its absolute temperature.
Now, let's assume that we cool a gas at constant pressure and observe its temperature and volume. As we lower the temperature, we will see that the volume of the gas decreases proportionally. If we extrapolate this behavior back to a hypothetical temperature where the volume of the gas becomes zero, we would arrive at the absolute zero point.
To derive this temperature, we can use the formula for the proportionality constant in Charles's law:
V/T = k (constant for a given sample of gas at constant pressure)
Rearranging, we get:
T = V/k
If we assume that at absolute zero temperature the volume of the gas is zero, we can substitute V=0 in the above equation to get:
T = 0/K = 0
Therefore, according to Charles's law, the absolute zero temperature is zero Kelvin (0 K), which is equivalent to approximately -273.15 degrees Celsius or -459.67 degrees Fahrenheit.
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