Ideal Gas HW Problem: Pressure at 11,000 meters?

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To calculate the atmospheric pressure at 11,000 meters with a temperature of -50 degrees Celsius and an air density of 0.403 kg/m^3, the equation P = P0exp(-Mgy/RT) was initially used, yielding a pressure of 2.8 * 10^4. However, this answer was not accepted by the online homework system. It was suggested to use the Ideal Gas Law for a more accurate solution. The pressure at sea level (P0) should be adjusted based on the temperature at that altitude. The discussion emphasizes the importance of using the correct equations and values for accurate atmospheric pressure calculations.
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Ideal Gas HW Problem!?

Homework Statement


"At an altitude of 11,000 meters, the air temperature is -50 degrees celsius. The air density is 0.403 kg/m^3. What is the pressure of the atmosphere at that altitude."

Homework Equations


P = P0exp(- Mgy/RT)


The Attempt at a Solution


I attempted to solve the problem using the above equation above equation and my result was P = 2.8 * 10^4. However my online homework is not accepting the answer and I'm not sure what I did wrong. Any help would be greatly appreciated!
 
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Po is the pressure at altitude h=0, at the given temperature. I think you used the value given for T=273 K.

Use the Ideal Gas Law instead.

ehild
 
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