Question

Benzene is a starting material in the synthesis of nylon fibers and polystyrene (styrofoam). Its specific heat capacity is 1.74 J/g·°C. If 16.7 kJ of energy is absorbed by a 225-g sample of benzene at 20.0°C, what is its final temperature?

Answer 1

Answer: The final temperature of the sample is 62.66°C

Explanation:

To calculate the amount of heat absorbed, we use the equation:

$Q=mc\Delta T$

where,

Q = heat absorbed = 16.7 kJ = 16700 J   (Conversion factor:  1 kJ = 1000 J)

m = Mass of the sample = 225 g

c = specific heat capacity of sample = $1.74J/g.^oC$

$\Delta T$ = change in temperature = $T_2-T_1=(T_2-20.0)$

Putting values in above equation, we get:

$16700=225g\times 1.74J/g.^oC\times (T_2-20)^oC\\\\T_2=62.66^oC$

Hence, the final temperature of the sample is 62.66°C