Question

What is the slope of p-v curve?
(1) -1
(2) - 3.5
(3) - 2.5
(4) None of these​

Answer 1

Answer:

slope = -1

Explanation:

$PV^{2.5} = 0.4$

when V = 1$m^{3}$

P = 0.4Pa

$PV^{2.5} = 0.4$

Differenciate both side wrt V

$\frac{d}{dV}(PV^{2.5}) = \frac{d}{dV}(0.4)\\\\2.5PV^{1.5} + V^{2.5}\frac{dP}{dV}=0\\\\\frac{dP}{dV} = - 2.5\frac{PV^{1.5}}{V^{2.5}} = -2.5\frac{P}{V}$

Now put the values of P and V we will get the slope.

$\frac{dP}{dV} = -2.5(\frac{0.4}{1}) = -1$

Answer 2

Answer:

-1

Explanation: