States of Matter 1 Question 19

19. Which of the following volume $(V)$ temperature $(T)$ plots represents the behaviour of one mole of an ideal gas at the atmospheric pressure?

(2002, 3M) (a)

(c)

(b)

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Solution:

  1. Option (b) and (d) are ruled out on the basis that at the initial point of $273 \mathrm{~K}, 1 \mathrm{~atm}$, for 1.0 mole volume must be $22.4 \mathrm{~L}$, and it should increase with rise in temperature.

Option (a) is ruled out on the basis that initial and final points are not connected by the ideal gas equation $V \propto T$, i.e. $V / T$ do not have the same value at the two points.

In option (c), at the initial point, the volume is $22.4 \mathrm{~L}$ as required by ideal gas equation and $(V / T)$ have the same value at both initial and final points.