The value of χ2α in a particular situation depends on

The number of degrees of freedom and the right-hand tail area α.

Explanation:

Chi Square Distribution

α is Significance level

If the p-value of hypothesis test < α, then we reject null hypothesis of the test.

So, α is basically a critical p-value which makes a rejection region in the right tail

Now, the statistic χ 2 also depends on the degrees of freedom

So, The value of χ2α in a particular situation depends on

the number of degrees of freedom and the right-hand tail area α.