1. A 110.0 g sample of metal is warmed 10.0 °C when 70.0 calories is added. What is the specific heat of this metal?

2. How much heat must be supplied to a 550.0 g aluminum pan to raise the temperature of the pan from 14.0°C to 108.0 °C?

Respuesta :

Answer:

1. The specific heat of the meatal is approximately 0.266 J/(g·°C)

2. 46.6334 kJ

Explanation:

1. The given mass of the sample of metal, m = 110.0 g

The temperature change of the metal when heat is added, ΔT = 10.0°C

The amount of head that was added, ΔH = 70.0 Calories = 292.88 Joules

The formula for heat heat capacity of a material is given as follows

Q = m × c × ΔT

Where;

Q = The quantity of heat added = 292.88 Joules

m = The mass of the material = 110.0 g

ΔT =  The temperature change = 10.0°C

c = The specific heat capacity of the material

We get;

c = ΔH/(m × ΔT)

Which gives;

c = 292.88 J/(110.0 g × 10.0°C) ≈ 0.266 J/(g·°C)

2. The given mass of aluminum, m = 550.0 g

The initial temperature of the aluminum, T₁ = 14.0°C

The final temperature of the aluminum, T₂ = 108.0°C

The specific heat of aluminum, c = 0.902 J/(g·°C)

We get;

Q = m × c × (T₂ - T₁)

Q = 550.0 g × 0.902 J/(g·°C) × (108.0°C - 14.0°C) = 46,633.4 joules = 46.6334 kJ

The heat that must be supplied to 550.0 g of aluminum pan to raise the temperature of the pan from 14.0°C to 108.0°C, Q = 46.6334 kJ.