A 5. pellet of aluminum at 20 degrees celcius gains 200 joules of heat. What is its final temperature? [specific heat of Aluminium, c=920 j/Kg. degrees celcius)
To find the final temperature of the aluminum pellet, we can use the formula:
Q = mcΔT
where:
Q = Heat energy gained by the pellet (in joules)
m = Mass of the pellet (in kilograms)
c = Specific heat capacity of aluminum (in joules per kilogram per degree Celsius)
ΔT = Change in temperature (in degrees Celsius)
Given:
Q = 200 J (joules)
m = 5 g (grams) --> We need to convert it to kilograms by dividing by 1000 (1 kg = 1000 g)
c = 920 J/kg·°C
ΔT = ? (We need to find the change in temperature)
First, let's convert the mass from grams to kilograms:
m = 5 g ÷ 1000 = 0.005 kg
Next, rearrange the formula to solve for ΔT:
ΔT = Q / (mc)
Substitute the given values into the formula:
ΔT = 200 J / (0.005 kg * 920 J/kg·°C)
ΔT = 200 J / 4.6 J/°C
ΔT ≈ 43.48 °C
Therefore, the final temperature of the aluminum pellet is approximately 43.48 degrees Celsius.