Type in the blanks to complete the equation then type the final answer below: Question: Gold has a specific heat of 0.129J/g^circ C How much heat would be used to increase the temperature of 150 grams of gold from 25^circ C to 90^circ C

## Step 1<br />The problem involves the calculation of the amount of heat required to increase the temperature of a substance. This is a classic application of the formula for heat transfer, which is given by:<br />### \(Q = mc\Delta T\)<br />where:<br />- \(Q\) is the heat energy (in joules),<br />- \(m\) is the mass of the substance (in grams),<br />- \(c\) is the specific heat capacity of the substance (in joules per gram per degree Celsius), and<br />- \(\Delta T\) is the change in temperature (in degrees Celsius).<br /><br />## Step 2<br />In this problem, we are given the following values:<br />- The specific heat capacity of gold, \(c = 0.129 J/g^{\circ }C\),<br />- The mass of gold, \(m = 150 g\), and<br />- The change in temperature, \(\Delta T = 90^{\circ }C - 25^{\circ }C = 65^{\circ }C\).<br /><br />## Step 3<br />We can now substitute these values into the formula to calculate the amount of heat energy required.