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what is the amount of heat (in kj) necessary to raise the temperature o…

Question

what is the amount of heat (in kj) necessary to raise the temperature of 22.0 g block of copper from 318 k to 613 k?
hint: the specific heat of copper is 0.385 j/(g·°c).
round your answer to two places past the decimal. if your answer is negative, include the sign.
answer

Explanation:

Step1: Calculate temperature change

$\Delta T=T_2 - T_1=613 - 318=295\ K$. Since a change in Kelvin is equal to a change in Celsius, $\Delta T = 295^{\circ}C$.

Step2: Use the heat - transfer formula

The formula for heat transfer is $q = mc\Delta T$, where $m = 22.0\ g$, $c=0.385\ J/(g\cdot^{\circ}C)$ and $\Delta T = 295^{\circ}C$.
$q=22.0\times0.385\times295$
$q = 22.0\times0.385\times295=2489.15\ J$.

Step3: Convert joules to kilojoules

Since $1\ kJ = 1000\ J$, then $q=\frac{2489.15}{1000}=2.49\ kJ$ (rounded to two decimal places).

Answer:

$2.49$