Question

The specific heat of acetic acid is 2.18 J/g°C. How many joules of heat

are needed to raise the temperature of 47.0 g of acetic acid from 25.5
°C to 91.6 °C? Round you answer to the nearest tenth.
J

Answer 1

To calculate the heat needed to raise the temperature of 47.0 g of acetic acid from 25.5 °C to 91.6 °C, use the formula q = mcΔT. After plugging in the given values and solving, we find that 6,806.3 J of heat is required.

Step-by-step explanation:

The question involves calculating the amount of heat energy required to raise the temperature of a given mass of acetic acid. The formula used for this calculation is q = mcΔT, where 'q' is the heat energy in joules, 'm' is the mass of the substance in grams, 'c' is the specific heat in J/g°C, and 'ΔT' is the change in temperature in Celsius degrees. By inserting the known values into the equation, the heat energy needed can be calculated as follows:

q = (2.18 J/g°C) × (47.0 g) × (91.6 °C - 25.5 °C)

q = (2.18 J/g°C) × (47.0 g) × (66.1 °C)

q = 6,806.346 J

After rounding to the nearest tenth, the answer is 6,806.3 J.

Answer 2

Given that,

The specific heat of acetic acid is 2.18 J/g°C

Mass, m = 47.0 g

The temperature increases from 25.5 °C to 91.6 °C.

To find,

The heat needed to raise the temperature.

Solution,

The heat need to raise the temperature is given by :

`Q=mc\Delta T\\\\Q=47* 2.18* (91.6 -25.5)\\\\=6772.60\ J\\\\\text{or}\\\\=6.77\ kJ`

So, 6.77 kJ of heat is need to raise the temperature.