If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of 0.3% in measuring T and an error of 0.8% in measuring V, find approximately the greastest percent error in P?
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- If the ideal gas law (PV = kT) is used to find P when T and V are given, but there is an error of 0.3% in measuring T and an error of 0.8% in measuring V, find approximately the greastest percent error in P? TOPIC:TOTAL DIFFERENTATION(a) The probability that a molecule in the atmosphere is at a height between z and z + dz above the surface of the Earth is proportional to e-z/A dz (capital Greek lambda). Determine the constant of proportionality. Sketch this distribution. (b) What is the mean molecular height, i.e. the mean height of a molecule? (c) What is the variance in the molecular height? (d) What is the standard deviation in the molecular height?An ideal gas, at pressure 4.9 atmospheres, in a volume 1.1 m3 and at a temperature of 308 K, is compressed into a lower volume 0.44 m3, at a pressure of 6.26 atmospheres. What is the new temperature, in K with two digits of precision?
- A car engine moves a piston with a circular crosssection of 7.500 ± 0.002 cm in diameter a distance of 3.250 ± 0.001 cm to compress the gas in the cylinder. (a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume.a chemist is doing some measurements with a thermometer that is accurate to 1 degree k and a pressure gauge that is accurate to 2 bars. Using the equation for the ideal gas law, V=C T/P, where C is a constant and V is volume, T is temperature in Kelvin and P is pressure in bars, how far off on volume(Leave C in the problem and ignore it) can he be assuming max error on each measurement assuming he measure 13 bars and 340 degrees K?A series of four measurements of g are made in the physics lab. The results of these measurements in ms2/ are: 9.63, 9.58, 9.71, 9.68. The average of these four measurements is the experimental value of g and the accepted value is 9.80 ms2/. What is the percent error of these measurements?
- Your calculated density of aluminum is d = 2.7 g/cm³. The accepted value of the aluminum density is 2.70 g/cm³. The percent error (follow significant figures rules) is: Just put the number, no need for the % signEvaluating the results for accuracy In an experiment, the temperature of a solution is measured by a student to be 79 degrees, but the true value of the temperature is 85 degrees. What is the percent error in this measurement? (see the appendix). Relative error: Comment on the accuracy:After carrying out repeated measurements for the pressure of a gas and making the calculations, the values 1.543780 Pa and 0.055000 Pa were obtained for the principal value and the uncertainty, respectively. The correct measurement result is: a) (1.5 ± 0.05) Pa b) (1.544 ± 0.055) Pa c) (1.54 ± 0.055) Pa d) (1.543780 ± 0.055) Pa
- 1.1. Compute the density (in units of m) of an ideal gas under the following conditions: (a) At 0 °C and 760 Torr pressure (1 Torr=1 mmHg). This is called the Loschmidt number. (b) In a vacuum of 103 Torr at room temperature (20 °C). This number is a useful one for the experimentalist to know by heart (10 3 Torr 1 µ).A car engine moves a piston with a circular cross sectionof 7.500 ± 0.002 cm diameter a distance of3.250 ± 0.001 cm to compress the gas in the cylinder. (a)By what amount is the gas decreased in volume in cubiccentimeters? (b) Find the uncertainty in this volumeA car engine moves a piston with a circular cross section of 7.500 + 0.002cm diameter a distance of 3.250 + 0.001cm to compress the gas in the cylinder.(a) By what amount is the gas decreased in volume in cubic centimeters? (b) Find the uncertainty in this volume.