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Practice Problems and Solutions for Quiz: 1. 100g of water was warmed 50 degrees C. Find the energy in Joules and calories. 2. 50g of gold was warmed from 30 degrees C to 590 degrees C. If the specific heat of gold is 0.129J/gC, how much energy was used to heat the gold? 3. A student took 40g of a metal at 5C and added it to 30g of water at 50C. The final temp was 40C. Find the specific heat of the metal. 4. 80 g of aluminum with a specific heat of 0.9J/gC was at 75C was added to 70g of water at 10C. Find the final temperature. Solutions 1. 100g of water was warmed 50 degrees C. Find the energy in Joules and calories. Q=gCpT Q= (100g)(4.18J/gC)(50C) Q=20,900J 20,900J x (1cal/4.18J) =5,000 cal or Q=(100g)(1cal/gC)(50C)=5,000 cal 2. 50g of gold was warmed from 30 degrees C to 590 degrees C. If the specific heat of gold is 0.129J/gC, how much energy was used to heat the gold? Q=gCpT Q=(50g)( 0.129J/gC)(560C)= 3,612J 3. A student took 40g of a metal at 5C and added it to 30g of water at 50C. The final temp was 40C. Find the specific heat of the metal. gCpT= gCpT Qmetal = Qwater (40g)(Cp)(35C)=(30g)(4.18J/gC)(10C) Cp= (30x4.18x10)/(40x35) = 0.896J/gC 4. 80 g of aluminum with a specific heat of 0.9J/gC was at 75C was added to 70g of water at 10C. Find the final temperature. gCpT= gCpT (80g)(0.9J/gC)(75-x)=(70g)(4.18J/gC)(x-10) 5,400-72x = 292.6x-2,926 8326=364.6x 22.84C = x