Questions: The calorie, the Btu (British thermal unit), and the joule are units of energy; 1 calorie = 4.184 joules (exact), and 1 Btu = 252.0 calories. Convert 3.94 Bte joules.

Solution Steps

• Use the conversion factor: \(1 \, \text{Btu} = 252.0 \, \text{calories}\).
• Multiply the given energy in Btu by this conversion factor: \[ 3.94 \, \text{Btu} \times 252.0 \, \text{calories/Btu} = 992.88 \, \text{calories} \]

• Use the conversion factor: \(1 \, \text{calorie} = 4.184 \, \text{joules}\).
• Multiply the energy in calories by this conversion factor: \[ 992.88 \, \text{calories} \times 4.184 \, \text{joules/calorie} = 4151.92352 \, \text{joules} \]

• The energy in joules is approximately \(4151.92 \, \text{J}\) when rounded to two decimal places.

Final Answer