Home
/
Physics
/
The graph shows the relationship between the mass of an object and its specific heat capacity. Assuming the temperatu re change is 20^circ C calculate the change in internal energy when the mass of the object is 20kg. Give your answer in kJ and to 2 decimal places if needed. square square square square square square square square square square square

Question

The graph shows the relationship between the mass of an object and its specific heat capacity. Assuming the temperatu re change is 20^circ C calculate the change in internal energy when the mass of the object is 20kg. Give your answer in kJ and to 2 decimal places if needed. square square square square square square square square square square square

The graph shows the relationship between the mass of an object and its specific heat capacity. Assuming the temperatu re change is 20^circ C calculate the change in internal energy when the mass of the object is 20kg. Give your answer in kJ and to 2 decimal places if needed. square square square square square square square square square square square

expert verifiedVerification of experts

Answer

4.3222 Voting
avatar
ZacharyMaster · Tutor for 5 years

Answer

The change in internal energy is \(1.68 \, \text{kJ}\).

Explain

## Step 1: Identify the given information<br />From the problem, we know that the mass of the object is \(20 \, \text{kg}\), the temperature change is \(20^{\circ} \mathrm{C}\), and we are asked to find the change in internal energy.<br /><br />## Step 2: Use the formula for calculating change in internal energy<br />The formula to calculate the change in internal energy (\(Q\)) is given by:<br /><br />### \(Q = m \cdot C \cdot \Delta T\)<br /><br />where \(m\) is the mass of the substance, \(C\) is the specific heat capacity, and \(\Delta T\) is the change in temperature.<br /><br />## Step 3: Substitute the given values into the formula<br />We substitute the given values into the formula. However, the specific heat capacity is not given directly in the problem. It is given in the graph. From the graph, we can see that the specific heat capacity of the object is \(4.2 \, \text{J/kg} \cdot \text{°C}\).<br /><br />Therefore, the change in internal energy is:<br /><br />### \(Q = 20 \, \text{kg} \cdot 4.2 \, \text{J/kg} \cdot \text{°C} \cdot 20^{\circ} \mathrm{C}\)<br /><br />## Step 4: Perform the calculation<br />After performing the calculation, we get the change in internal energy in Joules. However, the problem asks for the answer in kilojoules, so we need to convert Joules to kilojoules by dividing by 1000.
Click to rate:

Hot Questions

More x