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How much energy is required to raise the temperature of 10.6 grams of gaseous neon from
20.0 °C to 37.9 °C ?

Sagot :

Jacob193idn

Answer:

Approximately [tex]1.95 \times 10^{2}\; \rm J[/tex].

Explanation:

Look up the specific heat of gaseous neon:

[tex]c = 1.03 \; \rm J \cdot g^{-1} \cdot K^{-1}[/tex].

Calculate the required temperature change:

[tex]\Delta T = (37.9 - 20.0)\; \rm K = 17.9\; \rm K[/tex].

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

[tex]Q = c \cdot m \cdot \Delta T[/tex].

For the neon gas in this question:

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

Calculate the energy associated with this temperature change:

[tex]\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}[/tex].

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