The equation of state for 5 g of oxygen at a pressure P and temperature T. when occupying a volume V, will be
(A) PV = [5 / (32)]RT
(B) PV = [5 / (16)]RT
(C) PV = [5/2]RT
(D) PV = 5 RT
Correct option: (A) PV = [5 / (32)]RT
Explanation:
PV = nRT (1)
Where n = no. of molecules.
& n = (M / Mo) = {(mass of gas) / (molar mass of gas)}.
For oxygen, Mo = 32 given is M = 5g.
Hence n = (5 / 32)
Hence from (1), PV = [5 / (32)] RT.