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

P_{1} d_{1} T_{1} = P_{2} d_{2} T_{2}

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\frac{d_{1} P_{1}}{T_{1}} = \frac{d_{2} P_{2}}{T_{2}}

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\frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}

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\frac{P_{1} T_{1}}{d_{1}} = \frac{P_{2} T_{2}}{d_{2}}

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Solution

The correct option is D $\frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}$
$P V = n R T$
$P V = \frac{M a s s}{M o l . w t} R T$
$P = \frac{M a s s}{V} \frac{R T}{M o l . w t}$
$P = d \frac{R T}{M o l . w t}$
$d = \frac{P M}{R T}$
$⟹ \frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}$

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

The correct option is D P1d1T1=P2d2T2PV=nRTPV=MassMol. wtRTP=MassVRTMol. wtP=dRTMol. wtd=PMRT⟹P1d1T1=P2d2T2

The correct option is D $\frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}$
$P V = n R T$
$P V = \frac{M a s s}{M o l . w t} R T$
$P = \frac{M a s s}{V} \frac{R T}{M o l . w t}$
$P = d \frac{R T}{M o l . w t}$
$d = \frac{P M}{R T}$
$⟹ \frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}$