Three graphs are plotted between P and V for a sample of constant amount of an ideal gas at three different temperatures $400^{o} C$ , $400 F$ , $400 K$ . Match the corresponding graph with their corresponding temperature.

a - 400 K, b - 400 F, c - 400^{o} C

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a - 400 K, b - 400^{o} C, c - 400 F

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a - 400^{o} C, b - 400 K, c - 400 F

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a - 400 F, b - 400 K, c - 400^{o} C

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Solution

The correct option is A $a - 400 K, b - 400 F, c - 400^{o} C$
$400 K = 127^{o} C$
$400 F = {204.4}^{o} C$
Thus the increasing order of temperatures is $400 K < 400 F < 400^{o} C$ . The ideal gas equation is $P V = n R T$ .
For a fixed amount of a gas, higher the temperature, higher will be the pressure and higher will be the volume. Hence, in the option A, the graphs are correctly matched with temperature.

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Three graphs are plotted between P and V for a sample of constant amount of an ideal gas at three different temperatures 400o C, 400 F, 400 K. Match the corresponding graph with their corresponding temperature.

Three graphs are plotted between P and V for a sample of constant amount of an ideal gas at three different temperatures $400^{o} C$ , $400 F$ , $400 K$ . Match the corresponding graph with their corresponding temperature.