Question

It takes 5.0 J of heat in increase the temp of a sample by 10 degrees Celcius. If the mass is doubled, how much heat in joules will it take to increase the temp by 10.0 degrees.a. 50.0 Jb. 5.0 Jc. 10.0 Jd. 15.0 J

Answer 1

c. 10.0 J

Step-by-step explanation:

The heat (Q) needed to increase the temperature of a certain mass of a sample can be calculated using the following expression:

Q = c . m . ΔT

where,

c is the heat capacity

m is the mass

ΔT is the change in temperature

Let's call Q₁ (5.0 J) the heat to increase the temperature of the mass m₁ by ΔT = 10.0°C.

Q₁ = c . m₁ . ΔT

If the mass is doubled (m₂ = 2 m₁), the heat required is:

Q₂ = c . m₂ . ΔT = c . 2 . m₁ . ΔT = 2 . c . m₁ . ΔT = 2 . Q₁

Q₂ = 2 . Q₁ = 2 . 5.0 J = 10.0 J