Henry's law states that at a constant temperature, the solubility of a gas is directly proportional to the pressure of a gas.
In other words, The partial pressure of the gas in vapour phase (p) is proportional to the mole fraction of the gas (X) in the solution.
p=KH×X
KH is the Henry's law constant.
(a) At constant temperature, different gases have different KH values. Thus, KH is a function of nature of gases.
Thus, correct.
(b) p (partial pressure) = KH×χ
If p is constant and KH value increases then χ (solubility) decreases. Thus, correct.
(c) KH increases with increase in temperature thus, correct.
(d) KH is independent of pressure thus, incorrect.