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perform calculations using:q = mcδt. remember to show all your work. dr…

Question

perform calculations using:q = mcδt. remember to show all your work. draw an ice - cone here for 1 free point. ( 30 pts)

  1. gold has a specific heat of 0.129 j/(g*°c). how many joules of heat energy are required to raise the temperature of 15 grams of gold from 22 °c to 85 °c?

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  1. how much energy, in joules, is required to raise the temperature of 50 g of methanol from 20 °c to 50 °c? the specific heat of methanol is 2.1 j/g°c.

Explanation:

Step1: Identify known values for gold problem

$m = 15\ g$, $C=0.129\ J/(g\cdot^{\circ}C)$, $\Delta T=85 - 22=63^{\circ}C$

Step2: Substitute into formula $q = mC\Delta T$

$q=15\times0.129\times63$
$q = 15\times8.127$
$q = 121.905\ J$

Step3: Identify known values for methanol problem

$m = 50\ g$, $C = 2.1\ J/(g\cdot^{\circ}C)$, $\Delta T=50 - 20 = 30^{\circ}C$

Step4: Substitute into formula $q = mC\Delta T$

$q=50\times2.1\times30$
$q = 50\times63$
$q=3150\ J$

Answer:

  1. $121.905\ J$
  2. $3150\ J$