Problem

One of the hottest temperatures ever recorded on the surface of Earth was $134^{\circ} \mathrm{F}$ in Death Valley, CA. (a) What is this temperature in Celsius degrees? (b) What is this temperature in Kelvin?
(a) $57^{\circ} \mathrm{C}$
(b) $3.30 \times 10^{3} \mathrm{~K}$
(a) $57^{\circ} \mathrm{C}$
(b) $3.30 \times 10^{2} \mathrm{~K}$
(a) $57^{\circ} \mathrm{C}$
(b) $3.30 \times 10^{4} \mathrm{~K}$
(a) $87^{\circ} \mathrm{C}$
(b) $3.30 \times 10^{2} \mathrm{~K}$

Answer

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Answer

Since we need to round to the nearest integer, the Kelvin temperature is \(\boxed{330 K}\).

Steps

Step 1 :First, we convert the Fahrenheit temperature to Celsius using the formula \(C = \frac{5}{9}(F-32)\). Substituting \(F = 134\), we get \(C = \frac{5}{9}(134-32)\).

Step 2 :Calculating the above expression, we get \(C = \frac{5}{9}(102) = 56.67\).

Step 3 :Since we need to round to the nearest integer, the Celsius temperature is \(\boxed{57^\circ C}\).

Step 4 :Next, we convert the Celsius temperature to Kelvin using the formula \(K = C + 273.15\). Substituting \(C = 57\), we get \(K = 57 + 273.15\).

Step 5 :Calculating the above expression, we get \(K = 330.15\).

Step 6 :Since we need to round to the nearest integer, the Kelvin temperature is \(\boxed{330 K}\).

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