Which one of the following graphs correctly gives the ideal gas behaviour ?

Options

A.
B.
C.
D.

Answer

A

Explanation

For an ideal gas, PV = nRT. `" "…(1)`
(a) When P is kept constant, `VpropT`.
`therefore` The (V, T) graph is a straight line passing through the origin. (a) is correct.
(b) When T is kept constant, PV = constant … from (1)
`therefore` The P - V graph is a rectangular hyperbola. (b) is wrong.
(c) When V is constant, `PpropT`. The (P - T) graph is a straight line passing through the origin. (c) is wrong.
(d) From (1), `PVpropT`.
`therefore` The graph of PV against T is a straight line passing through O. (d) is wrong.
Thus , only (a) is correct.