Question

How much energy is required to raise the temperature of 10.6 grams of gaseous neon from

Answer 1

Answer:

Approximately $1.95 \times 10^{2}\; \rm J$.

Explanation:

Look up the specific heat of gaseous neon:

$c = 1.03 \; \rm J \cdot g^{-1} \cdot K^{-1}$.

Calculate the required temperature change:

$\Delta T = (37.9 - 20.0)\; \rm K = 17.9\; \rm K$.

Let $m$ denote the mass of a sample of specific heat $C$. Energy required to raise the temperature of this sample by $\Delta T$:

$Q = c \cdot m \cdot \Delta T$.

For the neon gas in this question:

• $c = 1.03\; \rm J \cdot g^{-1}\cdot K^{-1}$.
• $m = 10.6\; \rm g$.
• $\Delta T = (37.9 - 20.0)\; \rm K = 17.9\; \rm K$.

Calculate the energy associated with this temperature change:

$\begin{aligned}Q &= c \cdot m \cdot \Delta T \\ &= 1.03\; \rm J \cdot g^{-1}\cdot K^{-1} \times 10.6\; \rm g \times 17.9\; \rm K \\ &\approx 1.95 \times 10^{2}\; \rm J\end{aligned}$.