Question 1 The height of the Washington Monument is measured to be 170 m on a da
ID: 1644274 • Letter: Q
Question
Question 1
The height of the Washington Monument is measured to be 170 m on a day when the temperature is 32.0°C. What will its height be in meters on a day when the temperature falls to 16.5°C? Although the monument is made of limestone, assume that its thermal coefficient of expansion is the same as marble's. (Assume the temperature of the entire monument changes from 32.0°C to 16.5°C. Enter your answer to at least five significant figures.)
____m
Question 2
Large helium-filled balloons are used to lift scientific equipment to high altitudes.
(a) What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 14.8°C and rises to an altitude where its volume is twenty-two times the original volume and its temperature is
31.7°C?
(Enter your answer to at least 3 decimal places)
___atm
(b) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)
____atm
PLEASE ANSWER ALL THE QUESTIONS DONT GIVE ANY WRONG ANSWERS THANKS FOR YOUR HELP !
Explanation / Answer
1. Thermal heat coefficient of limestone,
alpha = 4.4 x 10^-6 /deg C
L = L0 [1 + alpha deltaT]
L = 170 [1 + (4.4 x 10^-6)(-16.5 - 32)]
L = 169.96
2. P V / T = constant
(1 atm) (Vo) / (273 + 14.8) = (P)(22 Vo) / (273 - 31.7)
P = 0.0152 atm
(b) gause presssure = P_atm - P
= 0.985 atm
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