Please help Speed of sound in air/temperature relation

AI Thread Summary
The speed of sound in the given air sample is calculated to be 342.43 m/s. The user is struggling with determining the temperature of the air sample, using the formula that requires absolute temperature. There is a suggestion to show calculations to identify errors in the temperature calculation. The discussion emphasizes the importance of using correct values for the gas constant and molecular weight. Accurate calculations are crucial for solving the problem correctly.
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Homework Statement



The density of a sample of air is 1.211 kg/m3, and the bulk modulus is 1.42 · 105 N/m2.


a) Find the speed of sound in the air sample.


b)Find the temperature of the air sample. Give answer in °C.


Homework Equations





The Attempt at a Solution



I found the part a it's
It's 342.43 m/s
But i find b wrong everytime.What i use is; sqrt[(1.4 x r x T)/M] = speed
But maybe i know the some values wrong? Help please.
 
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In the calculation, T must be an absolute temperature.

If you show your calculations, it might help us pinpoint what is going wrong.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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