Question
3 Calculate the en ergy ne eded t O inc reas e the t emper ature of 2 L of o il in a fry er from a 10^circ C to 210^circ C . The sp ecific heat c apac S 2kJ/^circ C/kg and the de nsity of oil is 0.5kg/L . Re member the equation for chang e in internal energy. E=mcDelta T 2 D Substitute the values in. E=(2times 0.5)times 2times (210-10) b-Write the result with the correct unit. E=1kJ
Answer
4.4
(188 Votes)
Cecilia
Master · Tutor for 5 years
Answer
Firstly we substitute these numbers into the first equation, spreading out the result:
. Remember to only keep significant digits, we find
Explanation
Here we are asked to find the energy required to heat up a certain amount of oil. We can use the relationship for heat transfer to an object
, where
is the heat transfer,
the mass of the object,
the specific heat capacity, and
the temperature change.The question tells us we have 2.0 liters of oil. We will be raising its development temperature from its original warmth of
to
, as in the question; we translate it to a change in temperature
of
. We also are given the specific heat capacity of oil \((2.0 \frac{kJ}{k.g^{\circ} \mathrm{C}})\). Also given is the dens_estimatorsity of oil, which we can use to find the mass given its volume. Since density
), then also
. According to this respecter, the mass of
of oil is \(2 * 0.5 kg (mass) = 1 kg\).