How long does it take to heat a cup of coffee in a 1000-Watt microwave oven? This means that energy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normal room temperature of 25°C. Step 1: Guess an answer. Step 2: Estimate the volume of the coffee in mL and the final temperature that you want to attain. Step 3: Assume coffee has the same density and thermal properties of water. Find its heat capacity (specific heat times mass) in appropriate units. Step 4: Use the heat capacity and the desired temperature change to find the energy required. Step 5: Calculate the time required using the energy and the microwave power. Pay attention to units and use Power Energy/ time. Step 5: Is your answer reasonable?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem 1:**

**How long does it take to heat a cup of coffee in a 1000-Watt microwave oven?** This means that energy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normal room temperature of 25°C.

**Step 1:** Guess an answer.

**Step 2:** Estimate the volume of the coffee in mL and the final temperature that you want to attain.

**Step 3:** Assume coffee has the same density and thermal properties as water. Find its heat capacity (specific heat times mass) in appropriate units.

**Step 4:** Use the heat capacity and the desired temperature change to find the energy required.

**Step 5:** Calculate the time required using the energy and the microwave power. Pay attention to units and use Power = Energy / time.

**Step 6:** Is your answer reasonable?
Transcribed Image Text:**Problem 1:** **How long does it take to heat a cup of coffee in a 1000-Watt microwave oven?** This means that energy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normal room temperature of 25°C. **Step 1:** Guess an answer. **Step 2:** Estimate the volume of the coffee in mL and the final temperature that you want to attain. **Step 3:** Assume coffee has the same density and thermal properties as water. Find its heat capacity (specific heat times mass) in appropriate units. **Step 4:** Use the heat capacity and the desired temperature change to find the energy required. **Step 5:** Calculate the time required using the energy and the microwave power. Pay attention to units and use Power = Energy / time. **Step 6:** Is your answer reasonable?
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