Questions: What amount of heat is required to raise the temperature of 85 g of water by 7°C? The specific heat of water is 4.184 J/g°C.

Transcript text: What amount of heat is required to raise the temperature of 85 g of water by $7^{\circ} \mathrm{C}$ ? The specific heat of water is $4.184 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$.

Solution

Solution Steps

Step 1: Identify the given values

We are given:

Mass of water, $ m = 85 \, \text{g} $
Temperature change, $ \Delta T = 7^{\circ} \text{C} $
Specific heat of water, $ c = 4.184 \, \text{J/g}^{\circ} \text{C} $

Step 2: Use the formula for heat required

The formula to calculate the amount of heat required is: \[ Q = mc\Delta T \]

Step 3: Substitute the given values into the formula

Substitute $ m = 85 \, \text{g} $, $ c = 4.184 \, \text{J/g}^{\circ} \text{C} $, and $ \Delta T = 7^{\circ} \text{C} $ into the formula: \[ Q = 85 \, \text{g} \times 4.184 \, \text{J/g}^{\circ} \text{C} \times 7^{\circ} \text{C} \]

Step 4: Perform the calculation

\[ Q = 85 \times 4.184 \times 7 \] \[ Q = 2492.36 \, \text{J} \]