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Ideal Gas Equation

The gas equat...

Question

The gas equation for a real gas is
$P (V - b) = R T$
Here, the parameter ' $b$ ' is van der Waal's constant. The graph of pressure against temperature (isochore) will give a straight line of the slope.

Zero

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\frac{R}{(V - b)}

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R / P

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Negative

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Solution

The correct option is B $\frac{R}{(V - b)}$
$P (v - b) = R T P = (\frac{R}{V - b}) T$
Graph of pressure against temperature has slope of $\frac{R}{V - b}$
Hence, correct option is $B$ .

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P (V - b) = R T

^{'} b^{'}

A gas obeys the equation of state P(V-b) = RT (The parameter b is constant). The slope for an isochore will be:

(\begin{matrix} P + \frac{a}{V^{2}} \end{matrix}) (V - b) = R T

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^{'} n^{'}

(P + \frac{a}{V^{2}}) (V - b) = n R T

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P (V - b) = R T

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