The variation of density (ρ) with temperature (T) of an ideal gas of molecular mass (M) at constant pressure is plotted as shown in figure.
The pressure of the gas at state P is RT2√KM
The value of K is
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Solution
We know that ρ=PMRT⇒dρdt=−PMRT2
At point P, the slope is tan 150∘ ∴dρdt=tan150∘=−1√3
Since the pressure at point P is RT2√KM
then dρdt=−RT2√KM×MRT2=−1√K ∴−1√K=−1√3⇒K=3