The equilibrium constant for reaction 1 is K.....?

how do i figure out problems like this?
do i check which ones cancel out?

The equilibrium constant for reaction 1 is K. The equilibrium constant for reaction 2 is ___?

(1) SO2 (g) + (1/2) O2 (g) (right and left arrows)SO3 (g)
(2) 2SO2 (g) + O2 (g) (right and left arrows) 2SO3 (g)

A) K2 B) 2K C) -K2 D) 1/K2 E) 1/2K

how do i know what k is?

You don't know what K is but you don't need to know. Equation 2 is the same as equation 1 but multiplied by 2. So the K for equation 2 is K for equation 1 squared; i.e., K12

To determine the equilibrium constant for a given reaction, you need to examine the balanced chemical equation for that reaction. In this case, we have two reactions, reaction 1 and reaction 2.

Reaction 1: SO2 (g) + 1/2 O2 (g) ⇌ SO3 (g)
Reaction 2: 2SO2 (g) + O2 (g) ⇌ 2SO3 (g)

The equilibrium constant for reaction 1 is denoted as K1, and the equilibrium constant for reaction 2 is denoted as K2. Now, to find the relationship between K2 and K1, we can use the fundamental principle that the equilibrium constant expression is determined by the ratio of the concentrations of products to reactants, each raised to the power equal to their stoichiometric coefficient.

For reaction 1:
K1 = [SO3] / ([SO2] * [O2]^(1/2))

For reaction 2:
K2 = [SO3]^2 / ([SO2]^2 * [O2])

Now, by comparing the balanced equations for reaction 1 and reaction 2, we can observe that reaction 2 is formed by multiplying reaction 1 by a factor of 2.

Considering the relationship between K2 and K1, we can conclude that K2 = (K1)^2.

So, the answer to the question "The equilibrium constant for reaction 1 is K. The equilibrium constant for reaction 2 is ____?" is (A) K2.

To determine the value of K for a particular reaction, you would typically need experimental data. The value of K depends on various factors, such as temperature and pressure. Experimental observations and measurements of the concentrations of reactants and products at equilibrium can be used to calculate the value of K.