# Spontaneous Reaction

**Question**

For a spontaneous reaction the !!DeltaG!!, equilibrium constant!!(K)!! will be:

- !!-ve,>1!!
- !!-ve,<1!!
- !!+ve,>1!!
- !!+ve,<1!!

**Solution**

For a spontaneous reaction the change in gibbs free energy is negative.

!!DeltaG<0!!

Now we know that !!DeltaG=DeltaG^@-RTlnK!!, but when the reaction is in equilibrium !!DeltaG=0!!.

So we get that !!DeltaG^@=-RTlnK!!. For this question we are assuming that in the standard state the reaction is spontaneous so !!DeltaG^@<0!!.

Hence we get that !!lnK>0=>k>1!!