Question

1. how many joules of heat are needed to raise the temperature of 10.0 g of aluminum from 22°c to 55°c, if the specific heat of aluminum is 0.90 j/g°c?

Explanation:

Step1: Identify the formula

The formula for heat $Q$ is $Q = mc\Delta T$, where $m$ is the mass, $c$ is the specific - heat capacity, and $\Delta T$ is the change in temperature.

Step2: Calculate the change in temperature

$\Delta T=T_2 - T_1=55^{\circ}C - 22^{\circ}C = 33^{\circ}C$

Step3: Substitute the values into the formula

$m = 10.0\ g$, $c = 0.90\ J/g^{\circ}C$, $\Delta T=33^{\circ}C$. Then $Q=(10.0\ g)\times(0.90\ J/g^{\circ}C)\times(33^{\circ}C)$
$Q = 10\times0.9\times33\ J=297\ J$

Answer:

$297\ J$