a. lithe temperature of a 255-mL sample of gas is increased from 35 °C to 55 °C at constant pressure, what will be the new volume of the gas sample?
If a 325-mL sample of gas at 25 °C is immersed in liquid nitrogen at −196 °C, what will be the new volume of the gas sample?
(a)
Interpretation:
The new volume of the given sample on increasing the temperature from
Concept Introduction:
The Charles’ law states that the volume of a given ideal gas system is directly proportional to the absolute temperature of the system at constant pressure. The Charles’ law is represented as:
Where,
The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as:
Where,
The volume of the gas sample is
The initial temperature of the gas sample is
The initial temperature of the gas sample in Kelvin is given as:
The final temperature of the gas sample is
The final temperature of the gas sample in Kelvin is given as:
The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as,
Where,
(b)
Interpretation:
The new volume of the given sample on decreasing the temperature from
Concept Introduction:
The Charles’ law states that the volume of a given ideal gas system is directly proportional to the absolute temperature of the system at constant pressure. The Charles law is represented as,
Where,
The relation between the initial and final volume of an ideal gas system on changing the temperature of the system at constant pressure is given as:
Where,
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