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Question

Which of the following is a correct representation for an ideal gas?


A
P1d1T1=P2d2T2
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B
d1P1T1=d2P2T2
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C
P1d1T1=P2d2T2
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D
P1T1d1=P2T2d2
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Solution

The correct option is D $$\dfrac{P_{1}}{d_{1}T_{1}}=\dfrac{P_{2}}{d_{2}T_{2}}$$
$$PV=nRT$$
$$PV=\dfrac{Mass}{Mol.\ wt}RT$$
$$P=\dfrac{Mass}{V}\dfrac{RT}{Mol.\ wt}$$
$$P=d\dfrac{RT}{Mol.\ wt}$$
$$d= \dfrac {PM} {RT} $$
$$\implies \dfrac{P_{1}}{d_{1}T_{1}}=\dfrac{P_{2}}{d_{2}T_{2}}$$

Chemistry

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