Question

What mass of water is needed to raise the temperature by 15 degrees C using 165 Joules of energy

Answer 1

Mass of the water is 2.63 g.

Explanation:

Mass of the water, m = ? g

Temperature, ΔT = 15 °C

Heat absorbed, q = 165 J

Specific heat capacity, c = 4.18 J / g °C

q = m × c × ΔT

Now, we have to find the mass of the water by rewriting the above equation as,

m =  $\frac{q}{c\times dT }$

Now Plugin the above values in the equation as,

m = $\frac{165}{4.18\times15}$

 =  2.63 g

So the mass of the water is found as 2.63 g.

Answer 2

The mass of water need to raise the temperature is 2.62 g

Explanation:

We have the formula to find the mass

Q = mCΔT

where

Q denotes the energy absorbed or released

m denotes the mass of the sample

C denotes the Specific heat of sample  ( 4.186 J/g°C)

Δ T denotes the Temperature change

Q = mCΔT

Rewrite the equation as,

m = Q/ C Δ T

m=165 J/4.186 J/g°C× ( 15.0 °C-0°C)

m= 2.62 g

The mass of water need to raise the temperature is 2.62 g