which of the following substances (with specific heat provided) would show the greatest temperature change upon absorbing 100.0 J of heat?
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To determine which substance would experience the greatest temperature change after absorbing 100.0 J of heat, we need to calculate the temperature change using the equation:
ΔT = Q / (m * c)
Where:
ΔT is the temperature change
Q is the heat absorbed
m is the mass of the substance
c is the specific heat capacity of the substance
By rearranging the equation, we can find the temperature change:
ΔT = Q / (m * c)
Now, let's compare the substances' specific heat capacities:
Substance A: cA = specific heat capacity of substance A
Substance B: cB = specific heat capacity of substance B
Substance C: cC = specific heat capacity of substance C
Substance D: cD = specific heat capacity of substance D
To determine which substance will experience the greatest temperature change, we need the substance with the lowest specific heat capacity because a lower value in the denominator will result in a higher temperature change.
So, look for the substance with the lowest specific heat capacity (c) in the provided data.
Once you find the substance with the lowest specific heat capacity, calculate:
ΔT = Q / (m * c)
Plug in the values for Q and c and compute the temperature change for each substance. The substance with the highest temperature change will be the one with the lowest specific heat capacity.
To determine which substance would show the greatest temperature change upon absorbing 100.0 J of heat, we need to compare their specific heats. The specific heat of a substance is the amount of heat energy required to raise the temperature of 1 gram of the substance by 1 degree Celsius (or 1 Kelvin).
The formula to calculate the heat absorbed by a substance is:
Q = m * c * ΔT
Where:
Q = Heat absorbed (in Joules)
m = Mass of the substance (in grams)
c = Specific heat of the substance (in J/g°C)
ΔT = Change in temperature (in °C or K)
Since we are given the specific heats, we can compare them to find the substance that would show the greatest temperature change.
Substance 1: Specific heat = 0.5 J/g°C
Substance 2: Specific heat = 1.0 J/g°C
Substance 3: Specific heat = 2.0 J/g°C
Substance 4: Specific heat = 4.0 J/g°C
To determine which substance would show the greatest temperature change, we can calculate the temperature change using the formula:
ΔT = Q / (m * c)
Since the mass is not provided, we can assume it to be 1 gram for all substances.
Calculating the temperature changes for each substance:
Substance 1: ΔT = 100.0 J / (1 g * 0.5 J/g°C) = 200°C
Substance 2: ΔT = 100.0 J / (1 g * 1.0 J/g°C) = 100°C
Substance 3: ΔT = 100.0 J / (1 g * 2.0 J/g°C) = 50°C
Substance 4: ΔT = 100.0 J / (1 g * 4.0 J/g°C) = 25°C
Therefore, Substance 1 would show the greatest temperature change upon absorbing 100.0 J of heat with a change of 200°C.