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?
A)0.009 cal
B)0.09 cal
C)0.9 cal
D)9 cal
C)0.9 cal
To determine the amount of energy needed to change the temperature of a substance, we can use the formula:
Q = mcΔT
Where:
Q is the heat energy (in calories)
m is the mass of the substance (in grams)
c is the specific heat capacity (in cal/g°C)
ΔT is the change in temperature (in °C)
In this case, we are given:
m = 10 grams
c = 0.09 cal/g°C
ΔT = (21°C - 20°C) = 1°C
Substituting the given values into the formula, we get:
Q = (10 grams) x (0.09 cal/g°C) x (1°C)
Q = 0.9 cal
Therefore, the amount of energy needed to change the temperature of the 10-gram sample from 20°C to 21°C is 0.9 calories.
The correct answer is option C) 0.9 cal.
To calculate the amount of energy needed, we can use the formula:
Q = mcΔT
where Q is the energy needed, m is the mass of the sample, c is the specific heat capacity, and ΔT is the change in temperature.
Given:
Specific heat capacity of copper (c) = 0.09 cal/g°C
Mass of the sample (m) = 10 grams
Change in temperature (ΔT) = 21°C - 20°C = 1°C
Now we can substitute these values into the formula and solve for Q:
Q = (10 g) * (0.09 cal/g°C) * (1°C)
Q = 0.9 cal
Therefore, the amount of energy needed is 0.9 calories.
The correct answer is C) 0.9 cal