QuestionMay 19, 2026

How much heat is needed to change the temperature of 3 grams of gold (c=0.129(1)/(g^circ )C) from 21^circ C to 363^circ C ? The answer is expressed to the nearest whole number. 121 joules 132 joules 140 joules 149 joules

How much heat is needed to change the temperature of 3 grams of gold (c=0.129(1)/(g^circ )C) from 21^circ C to 363^circ C ? The answer is expressed to the nearest whole number. 121 joules 132 joules 140 joules 149 joules
How much heat is needed to change the temperature of 3 grams of gold (c=0.129(1)/(g^circ )C) from 21^circ C to 363^circ C ? The answer is expressed to the nearest whole number. 121 joules 132 joules 140 joules 149 joules

Solution
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Answer

132 joules Explanation 1. Write the heat formula The formula for heat is **Q = mc\Delta T**. Where: m = 3 \ \text{g}, c = 0.129 \ \frac{\text{J}}{\text{g}^\circ\text{C}}, \Delta T = 363 - 21 = 342^\circ \text{C}. 2. Substitute values Q = 3 \times 0.129 \times 342. 3. Calculate Q = 3 \times 44.118 = 132.354 \ \text{J}. 4. Round to nearest whole number Q \approx 132 \ \text{J}.

Explanation

1. Write the heat formula <br /> The formula for heat is **$Q = mc\Delta T$**. <br />Where: <br />$m = 3 \ \text{g}$, $c = 0.129 \ \frac{\text{J}}{\text{g}^\circ\text{C}}$, $\Delta T = 363 - 21 = 342^\circ \text{C}$.<br /><br />2. Substitute values <br /> $Q = 3 \times 0.129 \times 342$.<br /><br />3. Calculate <br /> $Q = 3 \times 44.118 = 132.354 \ \text{J}$.<br /><br />4. Round to nearest whole number <br /> $Q \approx 132 \ \text{J}$.
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