i have no idea how to do this at all please explain...
The specific heat capacity of copper is 0.09 cal/g°C. How much energy is needed to flow into a 10-gram sample to change its temperature from 20°C to 21°C?
the energy needed to increase or decrease the temperature of a given substance is given by
Q = mc(T2-T1)
where
Q = heat (in J or cal)
m = mass (in g)
c = specific heat capacity (in J/g*K or cal/g*K)
T = temperature (in Kelvin)
**change in temperature can have unit degree Celsius or Kelvin,, thus you can use it interchangeably (what i mean is that the units for c can also be J/(g*C))
signs:
Q: (+) when heat is absorbed by substance
Q: (-) when heat is released from substance
therefore:
Q = (10)(0.09)(21-20)
Q = 0.9 cal
note that it is positive since it ABSORBED heat to RAISE its temperature.
hope this helps~ :)
Okayy thank you! :) That makes sence now lol
To calculate the amount of energy needed to change the temperature of a substance, you can use the formula:
Q = m * c * ΔT
Where:
Q = amount of heat energy (in calories)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in cal/g°C)
ΔT = change in temperature (in °C)
In this case, you are given:
m = 10 grams
c = 0.09 cal/g°C
ΔT = (21°C - 20°C) = 1°C
Now, we can substitute these values into the formula:
Q = 10 g * 0.09 cal/g°C * 1°C
The grams cancel out, leaving us with:
Q = 0.9 calories
Therefore, the amount of energy needed to flow into the 10-gram sample of copper to change its temperature from 20°C to 21°C is 0.9 calories.