Textbook Question
Complete the following table for an ideal gas:
P V n T
101.33 kPa ? L 3.333 mol 300 K
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Ch.10 - Gases
Chapter 10, Problem 36
A neon sign is made of glass tubing whose inside diameter is 3.0 cm and length is 10.0 m. If the sign contains neon at a pressure of 265 Pa at 30 °C, how many grams of neon are in the sign? (The volume of a cylinder is πr²h.)
Verified step by step guidance1
Calculate the radius of the glass tubing by converting the diameter from centimeters to meters and then dividing by 2. Use the formula: radius (r) = diameter / 2.
Convert the length of the glass tubing from meters to centimeters to ensure consistent units when calculating volume.
Calculate the volume of the glass tubing using the formula for the volume of a cylinder: V = \pi r^2 h, where r is the radius and h is the height (or length) of the cylinder.
Use the ideal gas law, PV = nRT, to solve for the number of moles (n) of neon gas. Rearrange the formula to n = PV / RT, where P is pressure, V is volume, R is the ideal gas constant, and T is temperature in Kelvin.
Convert the number of moles of neon to grams using the molar mass of neon. Multiply the number of moles by the molar mass of neon (approximately 20.18 g/mol) to find the mass in grams.
Related Practice
Open Question
Calculate each of the following quantities for an ideal gas: (a) the volume of the gas, in liters, if 1.50 mol has a pressure of 126.7 kPa at a temperature of -6 °C, (b) the absolute temperature of the gas at which 3.33 * 10^-3 mol occupies 478 mL at 99.99 kPa, (c) the pressure, in pascals, if 0.00245 mol occupies 413 mL at 138 °C.
Open Question
The Goodyear blimps, which frequently fly over sporting events, hold approximately 4955 m3 of helium. If the gas is at 23 °C and 101.33 kPa, what mass of helium is in a blimp?
Textbook Question
(a) Calculate the number of molecules in a deep breath of air whose volume is 2.25 L at body temperature, 37 °C, and a pressure of 97.99 kPa.
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Textbook Question
(b) The adult blue whale has a lung capacity of 5.0 * 103 L. Calculate the mass of air (assume an average molar mass of 28.98 g>mol) contained in an adult blue whale's lungs at 0.0 °C and 101.33 kPa, assuming the air behaves ideally.
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Textbook Question
(a) If the pressure exerted by ozone, O3, in the stratosphere is 304 Pa and the temperature is 250 K, how many ozone molecules are in a liter?
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