Question

Your trying to find a prepackaged gas from the storage room whose volume will fit inside...

Your trying to find a prepackaged gas from the storage room whose volume will fit inside a 2 liter tank. Your colleague suggests the following. Will this gas fit properly inside of the tank? Calculate the volume given the following:

R = 0.08206

# of moles 0.2

Temperature (ᴼC) 150

Pressure (atm) 6

Note: Show all your work.

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Answer #1

Calculate volume of the gas using ideal gas equation.

------ (1)

Here, P is pressure of gas, V is volume of gas, n is number of moles of gas, R is universal gas constant and T is temperature of gas.

Convert unit of temperature of gas from Celsius to Kelvin.

Substitute 150 oC for in above equation.

Substitute 6 atm for P, 0.2 for n, 0.08206 liter-atm/mol-K for R 423.15 K for T in equation (1).

liter

Under the given temperature and pressure conditions, gas will occupy 1.16 liter and hence will fit inside a 2 liter tank.

  

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