Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

if the atmospheric pressure on the top of a mountain is 0.2396 atm, wha…

Question

if the atmospheric pressure on the top of a mountain is 0.2396 atm, what is the pressure in kilopascal (kpa)?

(a) \\(2.365 \times 10^{-3}\text{ kpa}\\)
(b) \\(24.28\text{ kpa}\\)
(c) \\(182.1\text{ kpa}\\)
(d) \\(422.9\text{ kpa}\\)

Explanation:

Identify the conversion factor

$$ 1\text{ atm} = 101.325\text{ kPa} $$

Calculate the pressure in kilopascals

$$ P = 0.2396\text{ atm} \times 101.325\text{ kPa/atm} \approx 24.27747\text{ kPa} $$

Round to four significant figures

$$ P \approx 24.28\text{ kPa} $$

Answer:

  • (A) \(2.365 \times 10^{-3}\text{ kPa}\)
  • (B) \(24.28\text{ kPa}\) (Correct answer)
  • (C) \(182.1\text{ kPa}\)
  • (D) \(422.9\text{ kPa}\)