Classify the following processes as spontaneous or nonspontaneous:

A. An icicle melting on your hand on a cold day

B. Conversion of water into steam at 120 °C

C. A stone rolling uphill

D. Dissolution of salt in water

Consider a system with 3.62 mole of Acetone (C₃H₆O). Calculate the change in entropy that occurs in the system when it condenses at its boiling point of 56.1 °C and the heat of vaporization is 29.1 kJ/mol

Given the following data:

Calculate ΔS_fus and ΔS_vap for K.

ΔS_fus = _________ J•K^–1•mol^–1

ΔS_vap = _________ J•K^–1•mol^–1

If the state of the system consisting of three standard playing dice is determined by the sum of the values displayed on the top faces of the three dice, what is the system's absolute entropy?

What happens to the number of microstates when the volume of the system decreases?

What are the signs of the change of entropy for each of the given processes below?

(a) Fe³⁺ and OH^– ions forming solid Fe(OH)₃.

(b) Methane gas is released from solid wastes.

(c) A gas condenses.

(d) A liquid evaporates.

The decomposition of silicon dioxide produces solid silicon and oxygen gas. 

What is the ΔS_sys, ΔS_surr, and ΔS_total for the reaction? At 25 °C, under standard-state conditions, what is the spontaneity of the reaction?