Question
The equation below can be used to find the specific heat capacity of a substance. Work out the specific heat capacity of a substance if it takes 5 ,200J of energy to heat 2kg of it from 42^circ C to 47^circ C Enter your answer as a number J/kg^circ C C=(E)/(mtimes Theta )
Answer
4
(231 Votes)
Pryderi
Professional · Tutor for 6 years
Answer
The formula to calculate the specific heat capacity is given by
, where:-
is the amount of heat energy used in Joules (J).-
is the mass of the substance in kilograms (kg).-
is the specific heat capacity, which we are trying to find.-
represents the change in temperature, measured in degrees Celsius (°C)In this particular problem, you are given that:- The energy,
, used was 5200 Joules (J).- The substance's mass,
, was 2 kg.- The change in temperature,
, can be determined by subtracting the initial temperature from the final temperature, which is
or 5 Kelvin (K), as Celsius and Kelvin have the same scale.We will rearrange our formula to solve for
as highlighted in the below step by step:Re-arrange formula:\( c = Q / (m \cdot \Delta T) \)Solve with given values:\( c = 5200 \mathrm{~J} / (2 \mathrm{~kg} \cdot 5 \mathrm{~K}) = 520 \mathrm{~J/kg~K} \)Your calculated answer
~~Thus, yes, the specific heat capacity of the substance is
.