Question

The graph between temperature in °C and
pressure of a perfect gas is
(A) Hyperbola
(B) a straight line passing though the
origin
(C) A straight line parallel to pressure
axis intercepting temperature
axis as -273°C
(D) a straight line with + ve intercept
on pressure axis and intercepting
the temperature axis at -273° C​

Answer 1

Answer:

Answer is option C

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Answer 2

Answer:

The correct answer is option D. The graph will be a straight line and if the temperature is written in Kelvin then the intercept will be at $273^{0}$ .

Explanation:

Given: Since the temperature and pressure of an ideal gas are directly proportional to each other so as the temperature increases, so does the pressure of the gas.

To find: Plot the graph

Solution:

• From  Gay-Lussac’s law, the temperature of an ideal gas is directly proportional to its pressure. As the temperature of an ideal gas increases, then the kinetic energy of the gas molecules also increases. With the increase in the kinetic energy, the particles start moving faster with greater speed as the mass of the particles is constant.
• As the speed of the particles increase, they start hitting the walls of the container with greater force and momentum. So the force per collision of the particles increases on the walls. So the pressure also increases.
• Therefore, with the increase in the temperature, the pressure increases proportionally. So the graph between the pressure and temperature will be a straight line. If the temperature is taken in Kelvin then the straight line passes through the origin.
• But if the temperature is taken in Celsius, then the straight line intercepts the temperature axis at 273∘C . It can be seen as,