**Determine the Energy Needed to Cool Water**In this exercise, you are tasked with calculating the amount of energy (Q) that must be removed to decrease the temperature of 320 kg of water from 52 °C to 18 °C. The specific heat capacity of water is given as 4,186 J/(kg·K).**Question:**Determine the amount of energy Q you need to take off from 320 kg of water if you want to decrease its temperature from 52°C to 18°C. The specific heat of water is 4,186 J/(kg·K).**Options:**- About 90 J- About 45,500,000 J- About 90,000,000 J- About 45,000 J**Explanation:**To solve for the energy Q, use the formula:\[ Q = mc\Delta T \]Where:- \( Q \) is the energy required (in joules, J)- \( m \) is the mass of the water (in kilograms, kg)- \( c \) is the specific heat capacity (in J/(kg·K))- \( \Delta T \) is the change in temperature (in degrees Celsius, °C or Kelvin, K)Substitute the given values:- \( m = 320 \) kg- \( c = 4,186 \) J/(kg·K)- \( \Delta T = 52°C - 18°C = 34°C \)Calculate \( Q \):\[ Q = 320 \, \text{kg} \times 4,186 \, \frac{\text{J}}{\text{kg·K}} \times 34 \, \text{K} \]\[ Q = 320 \times 4,186 \times 34 \]\[ Q = 45,515,520 \, \text{J} \]Therefore, the correct answer is approximately **45,500,000 J**.**Correct Answer:**- About 45,500,000 J

Answered: Image /qna-images/answer/b63603af-1673-4195-b6af-8db07f076270.jpg

Determine the amount of energy Q you need to take off from 320 kg of water if you want to decrease its temperature from 52 °C to 18 °C. (Specific heat of water 4,186 J/Kg K) about 90 J about 45,500,000 J about 90,000,000J about 45,000 J

Determine the amount of energy Q you need to take off from 320 kg of water if you want to decrease its temperature from 52 °C to 18 °C. (Specific heat of water 4,186 J/Kg K) about 90 J about 45,500,000 J about 90,000,000J about 45,000 J

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

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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