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vladimir1956 [14]
3 years ago
14

Suppose you are hiking down the Grand Canyon. At the top, the temperature early in the morning is a cool 1.15 °C. By late aftern

oon, the temperature at the bottom of the canyon has warmed to a sweltering 31.4 °C. What is the difference between the higher and lower temperatures in (a) Fahrenheit degrees and (b) kelvins?
Physics
1 answer:
Otrada [13]3 years ago
5 0
<h2>Answer:54.45^{0}F,30.25K</h2>

Explanation:

Let t_{1f} be the low temperature in fahrenheit.

Let t_{2f} be the high temperature in fahrenheit.

Let t_{1k} be the low temperature in Kelvin.

Let t_{2k} be the high temperature in Kelvin.

Question a:

As we know \frac{c}{5}=\frac{F-32}{9}

\frac{1.15}{5}=\frac{t_{1f}-32}{9}

t_{1f}=34.07^{0}F

\frac{31.4}{5}=\frac{t_{2f}-32}{9}

t_{2f}=88.52^{0}F

So the difference is t_{2f}-t_{1f}=54.45^{0}F

Question b:

As we know c+273=k

1.15+273=t_{1k}

t_{1k}=274.15K

31.4+273=t_{2k}

t_{2k}=304.4K

So the difference is t_{2k}-t_{1k}=30.25K

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