The specific heat of toluene, C7H8, is 1.13 J/g K. How many joules of heat are needed to raise the temperature of 30.0 g of toluene from 10.4°C to 29°C?
THANK YOU
q = mass x specific heat x (Tfinal-Tinitial)
To calculate the heat required, we can use the formula:
Q = m * C * ΔT
Where:
Q = heat (in joules)
m = mass of toluene (in grams)
C = specific heat (in J/g K)
ΔT = change in temperature (in °C)
Given:
m = 30.0 g
C = 1.13 J/g K
ΔT = 29.0°C - 10.4°C = 18.6°C
Now we can substitute these values into the formula and calculate Q:
Q = 30.0 g * 1.13 J/g K * 18.6°C
Q = 637.8 J
So, 637.8 joules of heat are needed to raise the temperature of 30.0 g of toluene from 10.4°C to 29°C.
To find the amount of heat required to raise the temperature of a substance, you can use the formula:
Q = m * C * ΔT
Where:
Q is the amount of heat in joules (J),
m is the mass of the substance in grams (g),
C is the specific heat of the substance in J/g K, and
ΔT is the change in temperature in degrees Celsius (°C).
Given:
m = 30.0 g (mass of toluene)
C = 1.13 J/g K (specific heat of toluene)
ΔT = 29°C - 10.4°C = 18.6°C
To convert the temperature from Celsius to Kelvin, you need to add 273.15:
ΔT = 18.6°C + 273.15 = 291.75 K
Now we can substitute the values into the formula:
Q = 30.0 g * 1.13 J/g K * 291.75 K
Calculating:
Q = 986.55 J
Therefore, the amount of heat required to raise the temperature of 30.0 g of toluene from 10.4°C to 29°C is 986.55 joules (J).