Chapter 9, Problem 9.147MP

Interpretation Introduction

Interpretation:

The mass of ice should be determined at 0°C that must be added to obtain iced tea at 10.0 °C.

Concept introduction:

The Gibb’s equation of thermodynamic purposed a relation between $\text{ΔS}$, $\text{ΔH}$ and $\text{ΔG}$ with temperature. With the help of this equation, the change in $\text{ΔS}$, $\text{ΔH}$ and $\text{ΔG}$ can be predicted. For any reaction, the $\text{ΔH}$ and $\text{ΔS}$ can be calculated with the help of:

$\begin{array}{l}\text{ΔrS°= }\Sigma \text{ΔrS°product - }\sum \text{ΔrS°reactant}\\ \text{ΔrH°= }\Sigma \text{ΔrH°product - }\sum \text{ΔrH°reactant}\end{array}$

The change in temperature for the addition of two substances at two different temperatures can be calculated with the help of calorimetric equation:

$\begin{array}{l}\text{Q = m × C × ΔT}\\ \text{Here:}\\ \text{Q}\text{}\text{ = heat change }\\ \text{m = mass}\\ \text{C = specific heat }\\ \text{ΔT=change in T}\end{array}$