**Make sure to convert to Kelvin, Pa, etc before using ideal gas law** **Algebra

Question

**Make sure to convert to Kelvin, Pa, etc before using ideal gas law**

**Algebra based, show all work**

1. If the temperature of 2.0L of gas at constant pressure drops from 1000 oC to 500 oC, determine the new volume.

2. 5.0L of gas is held at constant temperature while the pressure is increased from 1.0atm to 4.0atm. Find the new volume.

3. A .50m3 metal cylinder is filled with an unknown gas to a pressure of 1000kPa. If the temperature of the gas is 250oC, how many molecules are in the cylinder?

Explanation / Answer

1) PV = nRT

V1/V2 = T1/T2, then 2/V = (1000+273)/(500+273), then V = 1.214 L

2) P1V1 = P2V2, then 1*5 = 4*V, then V = 1.25 L

3) PV = nRT

10*10^5 * 50 = n*8.314*(250+273), then n=11499 moles which is 11499*6*10^23 molecules

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