Question
Calculate the heat energy transferred if the temperature of 600 g of lead is raised from 20^circ C to 100^circ C
Answer
4.7
(199 Votes)
Harrison
Master · Tutor for 5 years
Answer
The heat energy transferred to raise the temperature of 600 g of lead from
to
is 6192 joules.
Explanation
## Step 1:The formula for calculating the amount of heat (
) required to change the temperature of a substance is given by:###
where:-
is the mass of the substance,-
is the specific heat of the substance, and-
is the change in temperature.## Step 2:For lead (Pb), the specific heat at constant pressure (
) is 0.129 J/(g·℃). The mass of lead (
) is 600 g, and the temperature change (
) is from
to
.## Step 3:Calculate the temperature change (
):###
## Step 4:Substitute the values of
,
, and
into the formula
:### \(Q = 600 \, \text{g} \times 0.129 \, \text{J/(g·℃)} \times 80^{\circ}C\)## Step 5:Calculate the heat required (
) using the substituted values:###