Question
A graph is plotted between $$P{V_m}$$ ( along $$Y$$-axis ) and $$P$$ ( along $$X$$-axis ) at $${27^ \circ }$$ ( $${V_m}$$ being the molar volume of an ideal gas ). The intercept of the graph at $$Y$$-axis is $$\left( {R = 0.082\,atm\,L{K^{ - 1}}\,mo{l^{ - 1}}} \right)$$
A.
$$22.4\,atm\,L\,mo{l^{ - 1}}$$
B.
$$24.6\,atm\,L\,mo{l^{ - 1}}$$
C.
$$24.6\,atm\,L{K^{ - 1}}mo{l^{ - 1}}$$
D.
$${\text{None of these}}$$
Answer :
$$24.6\,atm\,L\,mo{l^{ - 1}}$$
Solution :
The graph is a straight line parallel to the axis of pressure with intercept
$$ = P{V_m} = RT = $$ $$0.082\,atm\,L{K^{ - 1}}mo{l^{ - 1}} \times 300K$$
$$ = 24.6\,atm\,L\,mo{l^{ - 1}}.$$