An ideal gas sample whose amount may change goes through the path A $\to$ B $\to$ $C$ $\to$ D on the $V$ - $T$ graph shown below, while its pressure is kept constant throughout. The ratio of the number of moles of gas present at A, B, $C$ and D, $n$ (A) : $n$ (B) : $n$ ( $C$ ) : $n$ (D), is

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At constant pressure n = P V / RT is proportional to V / T . A: 1/200. B: 2/400 = 1/200. C : 4/400 = 1/100. D: 4/800 = 1/200. Ratio = 1/200 : 1/200 : 1/100 : 1/200 = 1 : 1 : 2 : 1. So the amount of gas is the same at A and B, doubles at C and returns to the original value at D. Answer: ( C ).

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