Find the amount of themal energy needed to raise the temperature of 5 g of a substance from 20 c to 30 c if the specific heat of the substance is 20.1 j/g c

q = mass x specific heat x (Tfinal-Tinitial)

100 J

To find the amount of thermal energy needed to raise the temperature of a substance, we can use the formula:

Q = m * c * ΔT

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

Given:
m = 5 g
c = 20.1 J/g°C
ΔT = 30°C - 20°C = 10°C

Now, we can substitute the given values into the formula to find the thermal energy:

Q = 5 g * 20.1 J/g°C * 10°C
Q = 100.5 J/g°C * 10°C
Q = 1005 J

Therefore, the amount of thermal energy needed to raise the temperature of 5 g of the substance from 20°C to 30°C is 1005 joules.