Final answer:
The phase change H2O(g) → H2O(s) is not spontaneous at room temperature. While melting and condensation of water are spontaneous, deposition typically requires specific conditions and is not usually spontaneous at room temperatures.
Step-by-step explanation:
The phase change that is not spontaneous at room temperature, assuming only the first phase is initially present, is H2O(g) → H2O(s). While conversion of water from gas to liquid (H2O(g) → H2O(l)) and from solid to liquid (H2O(s) → H2O(l)) are spontaneous at room temperature, the direct deposition of water vapor into a solid state is typically not spontaneous without the presence of specific conditions, such as high humidity and subfreezing temperatures.
Phase changes like the melting of ice (H2O(s) → H2O(l)) or the condensation of water vapor (H2O(g) → H2O(l)) are driven by Gibbs energy changes and involve entropy considerations. At room temperature, the spontaneous phase changes are those that occur without energy input: gas condenses to liquid and solid melts to liquid. However, the reverse process of gas turning into solid, known as deposition, does not happen spontaneously at room temperature conditions because it typically requires energy removal and specific conditions that promote this change.