Answer:
Correct answer: p = 510.465 kPa
Step-by-step explanation:
Initial pressure p = 1,464 kPa
after one minute p₁ = 1,464 · 0.9
after two minutes p₂ = p₁ · 0.9 = (1,464 · 0.9) = 1,464 · 0.9²
after three minutes p₃ = p₂ · 0.9 = (1,464 · 0.9²) · 0.9 = 1,464 · 0.9³
.............................................................
after n minutes pₙ = 1,464 · 0.9ⁿ
in accordance with the foregoing
after ten minutes p₁₀ = 1,464 · 0.9¹⁰ = 1,464 · 0.3487 = 510.465 kPa
p₁₀ = 510.465 kPa
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