Answer :
Answer:
85.0°C
Explanation:
The boiling point of water at sea level is 100°C and at this level, the pressure is 1 atm or 760 mmHg. The pressure decreases at a linear function when the high increases. At every 1,000 ft the pressure decreases 19.8 mmHg, thus:
1,000 ft ----------------- 19.8 mmHg
1.55x10⁴ft ------------- x
By a simple direct three rule:
1000x = 306,900
x = 306.9 mmHg
The boiling point of water decreases 0.05°C for each 1 mmHg pressure decreases, so:
1 mmHg ------- 0.05°C
306.9 mmHg --- y
By a simple direct three rule:
y = 15.345°C
So, the temperature will be 100°C - 15.345°C = 84.655 °C = 85.0°C
The solution for this problem is:
(1.55x10^4 / 1.0x10^3) x 19.8 mm Hg
= 15.5 x 19.88 mm Hg
= 308.14 mm Hg decrease
= 308.14 x 0.05 C = 15.407 deg C
deduct this amount to 100
100 – 15.407 = 84.593 C
ANSWER: 85 deg C (rounded to 2 significant figures)
(1.55x10^4 / 1.0x10^3) x 19.8 mm Hg
= 15.5 x 19.88 mm Hg
= 308.14 mm Hg decrease
= 308.14 x 0.05 C = 15.407 deg C
deduct this amount to 100
100 – 15.407 = 84.593 C
ANSWER: 85 deg C (rounded to 2 significant figures)
