How much heat is needed to raise the temperature of 25 g of a substance by 15°C when the specific heat is .92 J/g-°C?

Question

Jeremiah Adams · Accepted Answer

It will require #"350 J"# of heat energy to raise the temperature of the substance under the given conditions.

Use the following equation: #q=cmDeltat,# where: #q# is heat energy, #c# is specific heat, #m# is mass, and #Deltat# is the change in temperature. #Deltat=T_"final"-T_"initial"# Organize the data: Known #c=("0.92 J")/("g"*""^@"C")# #m="25 g"# #Deltat="15"^@"C"# Unknown #q# Solution Plug in the known values and solve for #q#. #q=("0.92 J")/(color(red)cancel(color(black)("g"))*""^@color(red)cancel(color(black)("C")))xx25color(red)cancel(color(black)("g"))xx"15"^@color(red)cancel(color(black)("C"))="350 J"# (rounded to two significant figures)

Xavier Avery · Answer

undefined To calculate the amount of heat needed to raise the temperature of a substance, you can use the formula:

Q = m * c * ΔT

Where:
Q = heat energy (in joules)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g°C)
ΔT = change in temperature (in °C)

Given:
m = 25 g
c = 0.92 J/g°C
ΔT = 15°C

Substitute the values into the formula:

Q = 25 g * 0.92 J/g°C * 15°C

Q = 345 joules

So, 345 joules of heat is needed to raise the temperature of 25 g of the substance by 15°C.