A jambo jet mass 4×10^2 kg travelling at a speed pf 5000 m/s lands on the airport . It takes 2 min to come to rest .calculate th
1 answer:
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Answer:
0.015 atm
Explanation:
The pressure of the gas can be calculated using Ideal Gas Law:
<u>Where:</u>
n: is the number of moles of the gas
R: is the gas constant = 0.082 L*atm/(K*mol)
V: is the volume of the container = 1.64 L
T: is the temperature
We need to find the number of moles and the temperature. The number of moles is:
<u>Where:</u>
M: is the molar mass of the N₂ = 14.007 g/mol*2 = 28.014 g/mol
m: is the mass of the gas = 0.226 g
Now, the temperature can be found using the following equation:
<u>Where:</u>
R: is the gas constant = 0.082 L*atm/K*mol = 8.314 J/K*mol
: is the root-mean-square speed of the gas = 182 m/s
By solving the above equation for T, we have:
Finally, we can find the pressure of the gas:
Therefore, the pressure of the gas is 0.015 atm.
I hope it helps you!