Question

8. (a) The internal volume of a gas cylinder is $2.0 \times 10^{-2} m^3$. An ideal gas is pumped into the cylinder until the pressure becomes 20 MPa at a temperature of $17^\circ C$. Determine (i) the number of moles of gas in the cylinder (ii) the number of gas atoms in the cylinder. (2) (b) (i) Using your answers in (a), determine the average volume occupied by one gas atom. (1) (ii) Estimate a value for the average separation of the gas atoms.

Name: 8 a the internal volume of a gas cylinder is 20 times 10 2 m3 an ideal gas is pumped into the cylinder until the pressure becomes 20 mpa at a temperature of 17circ c determine i the number o 69955
Uploaded: 2022-12-01T21:10:05-08:00
Duration: 3 min 19 s
Channel: Ivan Kochetkov
Description: 8 a the internal volume of a gas cylinder is 20 times 10 2 m3 an ideal gas is pumped into the cylinder until the pressure becomes 20 mpa at a temperature of 17circ c determine i the number o 69955

          8.
(a)
The internal volume of a gas cylinder is $2.0 \times 10^{-2} m^3$. An ideal gas is pumped into the
cylinder until the pressure becomes 20 MPa at a temperature of $17^\circ C$.
Determine
(i) the number of moles of gas in the cylinder
(ii) the number of gas atoms in the cylinder.
(2)
(b) (i) Using your answers in (a), determine the average volume occupied by one gas
atom.
(1)
(ii) Estimate a value for the average separation of the gas atoms.

8 a the internal volume of a gas cylinder is 20 times 10 2 m3 an ideal gas is pumped into the cylinder until the pressure becomes 20 mpa at a temperature of 17circ c determine i the number o 69955

Added by Glenda A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

12/01/2022

Step 1

The ideal gas law is given by $PV = nRT$, where $P$ is the pressure, $V$ is the volume, $n$ is the number of moles, $R$ is the ideal gas constant, and $T$ is the temperature. We are given: $P = 20 \text{ MPa} = 20 \times 10^6 \text{ Pa}$ $V = 2.0 \times 10^{-2} Show more…

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8. (a) The internal volume of a gas cylinder is $2.0 \times 10^{-2} m^3$. An ideal gas is pumped into the cylinder until the pressure becomes 20 MPa at a temperature of $17^\circ C$. Determine (i) the number of moles of gas in the cylinder (ii) the number of gas atoms in the cylinder. (2) (b) (i) Using your answers in (a), determine the average volume occupied by one gas atom. (1) (ii) Estimate a value for the average separation of the gas atoms.