Question
(b) Nuclear fusion of deuterium is difficult to achieve on Earth because of the high temperature needed. Electricity is used to increase the temperature of 4.0 g of deuterium by 50000000^circ C specific heat capacity of deuterium=5200J/kg^circ C Calculate the energy needed to increase the temperature of the deuterium by 50000000^circ C Use the Physics Equations Sheet. __ Energy=
Answer
4.1
(157 Votes)
Ian
Master · Tutor for 5 years
Answer
The energy required (Q) is calculated as follows:Q = (4.0 g / 1000) * 5200 J/kg°C * 50000000°C =
J
Explanation
## Step 1: Firstly, identify the variables from the problem. The mass (m) of deuterium is given as 4.0 g, which needs to be converted to kg for consistency with the specific heat capacity unit. The specific heat capacity (c) of deuterium is given as 5200 J/kg°C. The change in temperature (delta T) is given as 50000000°C. ## Step 2: The formula to calculate the energy (Q) required to change the temperature of a substance is given by:### **Q = m * c * delta T**This formula states that the energy required (Q) is equal to the mass of the substance (m) multiplied by its specific heat capacity (c) and the change in temperature (delta T).## Step 3: Substitute the given values into the formula. Remember to convert the mass from grams to kilograms by dividing by 1000 (since 1 kg = 1000 g).