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(a) An ideal gas occupies a volume of 2.2 cm³ at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 2.2 cm³ volume is reduced to 1.2 × 10⁻¹¹ Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? 

          (a) An ideal gas occupies a volume of 2.2 cm³ at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. 
(b) If the pressure of the 2.2 cm³ volume is reduced to 1.2 × 10⁻¹¹ Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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(a) An ideal gas occupies a volume of 2.2 cm³ at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. (b) If the pressure of the 2.2 cm³ volume is reduced to 1.2 × 10⁻¹¹ Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?
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Transcript

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00:01 Hi, let's see ideal gas law states that pv equal to n rt.
00:07 So n equal to pv by rt.
00:11 Let's substitute the value here.
00:13 So n equal to 1 into 0 .0022 divided by 8 .314 into 293 .15.
00:24 Once we simplified, we'll get 9 .15 into 10 to the power minus.
00:30 Minus 5 moles and here we can write n equal to 9 .15 into 10 to the power minus 5 moles into 6 .023 into 10 to the power 23 molecules that is equal to 5 .5 into 10 to the power 19 molecules...
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