1.1 (a) A sample of air occupies 1.0 L at 25 °C and 1.00 atm. What pressure is needed to compress it to 100 cm at this temperature?

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Chapter1: Chemical Foundations
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1.1
(a) A sample of air occupies 1.0 L at 25 °C and 1.00 atm. What pressure is needed to compress it
to 100 cm’ at this temperature?
1.2(a) A perfect gas undergoes isothermal compression, which reduces its
volume by 2.20 dm³. The final pressure and volume of the gas are 5.04 bar
and 4.65 dm', respectively. Calculate the original pressure of the gas in (a) bar,
(b) atm.
1.3
(a) To what temperature must a 1.0 L sample of a perfect gas be cooled from 25 °C in order to
reduce its volume to 100 cm³?
1.4(a) A sample of 255 mg of neon occupies 3.00 dm at 122 K. Use the perfect
gas law to calculate the pressure of the gas.
1.7(a) In an attempt to determine an accurate value of the gas constant, R, a
student heated a container of volume 20.000 dm³ filled with 0.251 32 g of
helium gas to 500°C and measured the pressure as 206.402 cm of water in a
manometer at 25°C. Calculate the value of R from these data. (The density of
water at 25°C is 0.997 07 g cm; the construction of a manometer is described
in Exercise 1.6a.)
Transcribed Image Text:1.1 (a) A sample of air occupies 1.0 L at 25 °C and 1.00 atm. What pressure is needed to compress it to 100 cm’ at this temperature? 1.2(a) A perfect gas undergoes isothermal compression, which reduces its volume by 2.20 dm³. The final pressure and volume of the gas are 5.04 bar and 4.65 dm', respectively. Calculate the original pressure of the gas in (a) bar, (b) atm. 1.3 (a) To what temperature must a 1.0 L sample of a perfect gas be cooled from 25 °C in order to reduce its volume to 100 cm³? 1.4(a) A sample of 255 mg of neon occupies 3.00 dm at 122 K. Use the perfect gas law to calculate the pressure of the gas. 1.7(a) In an attempt to determine an accurate value of the gas constant, R, a student heated a container of volume 20.000 dm³ filled with 0.251 32 g of helium gas to 500°C and measured the pressure as 206.402 cm of water in a manometer at 25°C. Calculate the value of R from these data. (The density of water at 25°C is 0.997 07 g cm; the construction of a manometer is described in Exercise 1.6a.)
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