Question

How many joules of heat are needed to raise the temperature of 30.0 g of aluminum from 22°C to 80°C, if the specific heat of aluminum is 0.90 J/g°C?

Answer 1

Answer: There are 1566 joules of heat needed to raise the temperature of 30.0 g of aluminum from 22°C to 80°C, if the specific heat of aluminum is 0.90 J/g°C.

Step-by-step explanation:

Given: Mass = 30.0 g

Specific heat =
`0.90 J/g^(o)C`

`T_(1) = 22^(o)C`

`T_(2) = 80^(o)C`

Formula used to calculate the heat energy requires is as follows.

`q = m * C * (T_(2) - T_(1))`

where,

q = heat energy

m = mass of substance

C = specific heat capacity of substance

`T_(1)` = initial temperature

`T_(2)` = final temperature

Substitute the values into above formula as follows.

`q = m * C * (T_(2) - T_(1))\\= 30.0 g * 0.90 J/g^(o)C * (80 - 22)^(o)C\\= 1566 J`

Thus, we can conclude that there are 1566 joules of heat needed to raise the temperature of 30.0 g of aluminum from 22°C to 80°C, if the specific heat of aluminum is 0.90 J/g°C.