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Ch.10 - Gases
All textbooksBrown 14th EditionCh.10 - GasesProblem 44a
Chapter 10, Problem 44a

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (a) What mass of O2 does the tank contain?

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1
Start by identifying the given values: the volume of the tank (V = 210.0 L), the pressure of the gas (P = 16,500 kPa), and the temperature (T = 23 °C). Convert the temperature to Kelvin by adding 273.15, so T = 23 + 273.15 = 296.15 K.
Use the ideal gas law, PV = nRT, to find the number of moles (n) of O2. The ideal gas constant (R) is 8.314 J/(mol·K), but since pressure is given in kPa, use R = 8.314 L·kPa/(mol·K). Rearrange the formula to solve for n: n = PV / RT.
Substitute the known values into the rearranged ideal gas law equation: n = (16,500 kPa * 210.0 L) / (8.314 L·kPa/(mol·K) * 296.15 K). This will give you the number of moles of O2 in the tank.
Once you have the number of moles, calculate the mass of O2 using the molar mass of O2. The molar mass of O2 is approximately 32.00 g/mol. Use the formula: mass = n * molar mass.
Substitute the number of moles calculated in the previous step into the mass formula to find the mass of O2 in grams.

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Related Practice
Textbook Question

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (b) What volume will the Cl2 occupy at STP?

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Textbook Question

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (c) At what temperature will the volume be 15.00 L if the pressure is 116.8 kPa

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Textbook Question

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (d) At what pressure will the volume equal 5.00 L if the temperature is 58 °C?

Textbook Question

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (b) What volume would the gas occupy at STP?

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Textbook Question

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (c) At what temperature would the pressure in the tank equal 15.2 MPa?

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Textbook Question

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (d) What would be the pressure of the gas, in kPa, if it were transferred to a container at 24 °C whose volume is 55.0 L?

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