Question

Match List I and List II

List-I List-II

a) P-V graph(T is constant) e) St. line cutting temp axis at - 273${}^0$

b) P-T graph(V is constant) f) Rectangular hyperbola

c) V-T graph(pressure P is constant) g) A st.line parallel to axis

d) PV- P garph h) St. line passing trhough origin (T is constant)

• A. a-g,b-e,c-h, d-f.
• B. a-h, b-f c-g, d-e.
• C. a-e, b-g,c-f, d-h.
• D. a-f, b-h, c-e,d-g.

Answer 1

The correct option is D a-f, b-h, c-e,d-g.

(a) P-V graph (T is constant):
$PV=nRT$
at constant temperature
$PV=constant$
$P\alpha \frac{1}{V}$
so it will be Rectangular hyperbola.
(b) P-T Graph (V is constant) :
$PV=nRT$
at constant volume
$P\alpha T$
pressure is proportional to T, so it will be straight line passing through origin.
c) V-T graph(P is constant) :
$PV=nRT$
at constant pressure
$V\alpha T$
volume is proportional to T(Kelvin),so it will be straight line passing through origin, but if temperature is taken in ${}^{o}C$, then it will cut temperature axis at $-{273}^{o}C$
(d) PV - P Graph (T is constant) :
$PV=nRT$
at constant Temperature
$PV=constant$
$PV$ is constant for constant temperature,so it will be straight line parallel to P axis.