50 POINTS! I really need help with these pressure and volume questions from Boyle's Law. PLEASE HELP 1.If a sample of gas has a volume of 100.0ml when the pressure is 50.0kPa, what is the volume when the pressure is increased to 400.0kPa, assuming temperature and number of moles is held constant?

2. What pressure would be required to take 100.0ml of a gas at 103.0kPa and squish it down to 2.00ml, assuming temperature and number of moles is held constant?

4. If the temperature and number of moles are held constant, what would be the new volume if 2.00cm3 of a gas at 3.00atm is changed to 0.0200atm?

7. What pressure must be applied to a sample of Freon gas having a volume of 325L at 20.0°C and 723Torr to permit the expansion of the gas to a volume of 975L at 20.0°C?

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

What would people living along the coast in south florida do if there was a hurricane warning? move to locations away from the water flock along coasts to watch the natural phenomenon buy instruments to predict the exact location of the hurricane measure water levels to know the exact time of the hurricane

The illuminance of a surface varies inversely with the square of its distance from the light source. if the illuminance of a surface is 120 lumens per square meter when its distance from a certain light source is 6 meters, by how many meters should the distance of the surface from the source be increased to reduce its illuminance to 30 lumens per square meter?