\(HOCI + H_2O_2 → H_3O+ + CI^– + O_2\)
\(PbS + 4H_2O_2 → PbSO_4 + 4H_2O\)
\(2MnO^-_4, +3H_2O_2 → 2MnO_2, +3O_2, +2H_2O + 2OH^- \)
\(MN^{2+} + H_2O_2 → Mn^{4+}+2OH^-\)
In basic medium \(MnO_4^– \) is reduced to \(MnO_2\), whereas in acidic medium it is reduced to \(Mn^{+2}\).
So, the correct option is (C): \(2MnO^-_4, +3H_2O_2 → 2MnO_2, +3O_2, +2H_2O + 2OH^- \)
Consider the following reaction occurring in the blast furnace. \[ {Fe}_3{O}_4(s) + 4{CO}(g) \rightarrow 3{Fe}(l) + 4{CO}_2(g) \] ‘x’ kg of iron is produced when \(2.32 \times 10^3\) kg \(Fe_3O_4\) and \(2.8 \times 10^2 \) kg CO are brought together in the furnace.
The value of ‘x’ is __________ (nearest integer).
X g of benzoic acid on reaction with aqueous \(NaHCO_3\) release \(CO_2\) that occupied 11.2 L volume at STP. X is ________ g.
Given below are two statements:
Statement (I):
are isomeric compounds.
Statement (II):
are functional group isomers.
In the light of the above statements, choose the correct answer from the options given below:
The effect of temperature on the spontaneity of reactions are represented as: Which of the following is correct?

Ordinary Differential Equations is an equation that indicates the relation of having one independent variable x, and one dependent variable y, along with some of its other derivatives.
\(F(\frac{dy}{dt},y,t) = 0\)
A partial differential equation is a type, in which the equation carries many unknown variables with their partial derivatives.

It is the linear polynomial equation in which derivatives of different variables exist. Linear Partial Differential Equation derivatives are partial and function is dependent on the variable.

When the degree of f(x,y) and g(x,y) is the same, it is known to be a homogeneous differential equation.
\(\frac{dy}{dx} = \frac{a_1x + b_1y + c_1}{a_2x + b_2y + c_2}\)
Read More: Differential Equations