## Related questions with answers

Question

A tree leaf of mass of 0.80 g and specific heat of $3700 \mathrm{J} / \mathrm{kg} \cdot^{\circ} \mathrm{C}$ absorbs energy from the sunlight at a rate of $2.8 \mathrm{J} / \mathrm{s}$.If this energy is not removed from the leaf,how much does the temperature of the leaf change in 1 min?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2we have that

$\begin{align*} Q&=H \Delta t\\ &=2.8 \times 1 \times 60\\ &=168 \text{ J} \end{align*}$

```
if this energy increase the leaf temperature
then we have
```

$\begin{align*} Q&=mc\Delta t\\ \Delta t&=\dfrac{Q}{m c}\\ &=\dfrac{168}{0.80 \times 10^{-3} \times 3700}\\ &=\boxed{56.77^o\text{C}} \end{align*}$

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