Question

5. It takes 4184 J of energy to raise the temperature of 1 kg of water 1.000 °C.
a. How many joules does it take to raise the temperature of 1.50 kg of water 1.00 °C?​

Answer 1

Explanation:

4184 J of energy to raise the temperature of 1 kg of water 1.000 °C.

a. How many joules does it take to raise the temperature

Answer 2

Solution!!

The concept of calorimetry has to be used here.

Heat energy (Q) = 4184 J

Mass (m) = 1 kg

Change in temperature (∆t) = 1°C = 1 K (We usually take 1°C as 1 K to solve the numericals.)

Q = m c ∆t (Here c is the specific heat capacity)

4184 J = 1 kg × c × 1 K

c = 4184 J kg⁻¹ K⁻¹

Now,

∆t = 1°C = 1 K

m = 1.5 kg

c = 4184 J kg⁻¹ K⁻¹

Q = m c ∆t

Q = 1.5 kg × 4184 J kg⁻¹ K⁻¹ × 1 K

Q = 1.5 × 4184 J × 1

Q = 6276 J

More information:-

→ Heat is a form of internal energy obtained due to random motion of molecules in a substance.

→ The SI unit of heat is joule (J).

→ The amount of heat contained in a body depends on mass, temperature and substance of body.

→ Heat is measured by the principle of calorimetry.

→ Two bodies having same quantity of heat may differ in their temperature.