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  • Volume versus temperature graphs for a given mass of an ideal gas is shown in the figure. At two different values of constant pressure.

Volume versus temperature graphs for a given mass of an ideal gas are shown in the figure. At two different values of constant pressure. What can be inferred about the relation between P_{1} and P_{2}?

(a)P_{1}>P_{2}
(b) P_{1}=P_{2}
(c) P_{1}<P_{2}
(d) Data is insufficient

 

Answers (1)

The answer is the option (a)

 

Pressure and quantity of gas are constant here.

From PV = nRT, we can say that, V \propto T

So, \frac{V_{1}}{T_{1}} = constant (slope = constant)

V = \frac{nRT}{P}

\frac{dV}{dT}=n \frac{R}{P}

Hence its value decreases with pressure, so, \frac{dV}{dT}\propto \frac{1}{P}

So the slope  P_{1} is smaller than P_{2} and hence, a is the right option.

Posted by

infoexpert24

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