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11. calculate the final temperature of water if the heat from combustin…

Question

  1. calculate the final temperature of water if the heat from combusting one entire pistachio goes into the container of water.

measurements you may find helpful:

  • heat released by entire pistachio: student response j
  • initial temperature of water: 20.0 °c
  • mass of one pistachio: 0.511g
  • mass of water in the container: 500 g

i need a hint
°c
the answer to this question depends on your answers to previous questions.
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Explanation:

Step1: Recall heat - transfer formula

The heat - transfer formula is $Q = mc\Delta T$, where $Q$ is the heat energy, $m$ is the mass, $c$ is the specific heat capacity, and $\Delta T=T_{final}-T_{initial}$. The specific heat capacity of water $c = 4.18\ J/(g\cdot^{\circ}C)$. We know $Q$ (heat released by pistachio), $m$ (mass of water), and $T_{initial}$. We can re - arrange the formula to solve for $T_{final}$: $T_{final}=T_{initial}+\frac{Q}{mc}$.

Step2: Substitute given values

We are given $T_{initial}=20.0^{\circ}C$, $m = 500\ g$, and $c = 4.18\ J/(g\cdot^{\circ}C)$. Let the heat released by the pistachio be $Q$ (Student Response J). Then $T_{final}=20.0+\frac{Q}{500\times4.18}$.

Answer:

$20.0+\frac{Q}{2090}$ (where $Q$ is the heat released by the entire pistachio)