Question

1. which of the following statements about specific heat capacity is incorrect?

a. it has the symbol c
b. it relates the heat of a sample, object or system to its change in temperature
c. it is can be expressed in units kj/°c
d. a bath tub of water would have a lower heat capacity than a teaspoon of water
e. it does not contribute energy to the system
energy (ea) of the reverse reaction relate to the ea of the forward reaction and

Explanation:

To determine the incorrect statement about specific heat capacity, we analyze each option:

• Option a: Specific heat capacity is commonly denoted by \( c \), so this is correct.
• Option b: Specific heat capacity (\( c=\frac{q}{m\Delta T} \)) relates the heat (\( q \)) absorbed/released to the mass (\( m \)) and temperature change (\( \Delta T \)), so it relates heat to temperature change, correct.
• Option c: Specific heat capacity units can be \( \text{kJ/}^\circ\text{C} \) (when mass - related aspects are considered in a way that the mass - dependent part is incorporated, or for a specific amount of substance), so this is a valid unit, correct.
• Option d: A bathtub has a much larger mass of water than a teaspoon. Heat capacity (\( C = mc \)) depends on mass (\( m \)) and specific heat capacity (\( c \)). Since \( c \) is the same for water (assuming same conditions) and the mass of water in a bathtub is much larger than in a teaspoon, the heat capacity of the bathtub of water (\( C_{bathtub}=m_{bathtub}c \)) is larger than the heat capacity of a teaspoon of water (\( C_{teaspoon}=m_{teaspoon}c \)) (because \( m_{bathtub}>>m_{teaspoon} \)). So this statement is incorrect.
• Option e: (The statement is incomplete, but from the context of specific heat capacity, specific heat capacity is about heat and temperature change, not about activation energy. But among the given options, option d is incorrect as analyzed above.)

Answer:

d. A bath tub of water would have a lower heat capacity than a teaspoon of water