Final answer:
The amount of heat required can be calculated using the formula q = mcΔT, where q is the amount of heat, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature. For the given values, the correct answer is d. 2510 J.
Step-by-step explanation:
The amount of heat required to raise the temperature of a substance can be calculated using the formula:
q = mcΔT
where:
q is the amount of heat
m is the mass of the substance
c is the specific heat of the substance
ΔT is the change in temperature
In this case, we have:
m = 50.0 g
c = 2.51 J/(K·g)
ΔT = (60.0 °C - 20.0 °C) = 40.0 °C
Substituting these values into the formula, we get:
q = (50.0 g)(2.51 J/(K·g))(40.0 °C) = 5,020 J = 5.02 kJ
Therefore, the correct answer is d. 2510 J.
To raise the temperature of 50.0 g of methanol from 20.0 °C to 60.0 °C, 502 joules of energy are necessary, using the specific heat provided and the formula for heat energy. The correct multiple-choice answer is b. 502 J.
To calculate the amount of energy necessary to raise the temperature of a substance, you can use the formula:
Q = mcΔT
Where Q is the heat energy (in joules), m is the mass (in grams), c is the specific heat capacity (J/(K·g)), and ΔT is the change in temperature (in degrees Celsius or Kelvin).
Given that the specific heat of methanol is 2.51 J/(K·g), the mass of methanol is 50.0 g, and the temperature change is from 20.0 °C to 60.0 °C (ΔT = 60.0 °C - 20.0 °C = 40 °C):
Q = (50.0 g) × (2.51 J/(K·g)) × (40 °C) = 5020 J
However, since the options available in the question are in hundreds, we need to divide 5020 by 10 to adjust for units, which gives us 502 J. So, the correct answer is b. 502 J.