# Calculate the amount of heat required to raise the temperature of a 33 g sample of water from 6...

## Question:

Calculate the amount of heat required to raise the temperature of a 33 g sample of water from 6 degrees Celsius to 24 degrees Celsius.

## Heat Transfer Equation:

The heat transferred to a substance can be expressed by the product of the mass, {eq}\displaystyle m {/eq}, with the specific heat, {eq}\displaystyle c {/eq}, and the resulting change in the temperature, {eq}\displaystyle \Delta T {/eq}, of the substance. It can be expressed as {eq}\displaystyle q = mc\Delta T {/eq}. Thus, we can see that the change in temperature is proportional with the heat transferred.

Determine the heat required, {eq}\displaystyle q {/eq}, using the equation {eq}\displaystyle q= mc\Delta T {/eq}, where the mass of water is {eq}\displaystyle m = 33\ g {/eq}, and the change in temperature of the water is {eq}\displaystyle \Delta T = 24 ^\circ C- 6 ^\circ C = 18 ^\circ C {/eq}. Also, we know that the specific heat of water is {eq}\displaystyle c = 1\ cal/g ^\circ C {/eq}. We proceed with the solution.

{eq}\begin{align} \displaystyle q &= mc\Delta T\\ &= 33\ g\times 1\ cal/g ^\circ C\times 18 ^\circ C\\ &= 549\ cal \end{align} {/eq}