Question

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

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

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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