# physics

posted by .

0.11 mol of argon gas is admitted to an evacuated 50cm^3 container at 10 degree C. The gas then undergoes an isothermal expansion to a volume of 200cm^3.
What is the final pressure of the gas?

• physics -

In isothermal expansions, the product
P*V = a constant. Therefore
P2/P1 = V1/V2 = 50/200 = 1/4

Since you were not told the initial pressure P1, you will have to use the perfect gas law and the information given.
0.11 moles at STP (1 atm and 273K) occupies 0.11*22.4 = 2.46 liters. At 10C (283K) it would occupy 2.55 liters. Since the initial volume is only 50 cm^3 = 0.05 l, the initial pressure must be
P1 = 2.55/0.05 = 51 atm.

The final pressure is 1/4 of that.

You could also have used P = nRT/V to get the initial pressure. Personally I find it easier to remember that 1 mole is 22.4 liters at STP. There are too many values of R, with different units, to try to remember.

## Similar Questions

1. ### physics- vry urgent

An ideal monatomic gas initially has a temperature of 333 K and a pressure of 7.15 atm. It is to expand from volume 581 cm3 to volume 1360 cm3. If the expansion is isothermal, what are (a) the final pressure (in atm) and (b) the work …
2. ### physics

.10 mol of Argon gas is admitted to an evacuated 50cm cubed container at 20 degrees celsius. The gas then undergoes an isobaric heating to a temperature of 300 degrees celsius. What is the final volume of the gas?
3. ### Physics

0.75 mol of argon gas is admitted to an evacuated 40 cm^{3} container at 40 C. The gas then undergoes an isochoric heating to a temperature of 500 C. What is the final pressure of the gas?
4. ### physics

0.75 mol of argon gas is admitted to an evacuated 40 cm^{3} container at 40 C. The gas then undergoes an isochoric heating to a temperature of 500 C.
5. ### Physics

0.75 mol of argon gas is admitted to an evacuated 40 cm^{3} container at 40 C. The gas then undergoes an isochoric heating to a temperature of 500 C. Before I forgot to write the question...so the question is What is the final pressure …
6. ### Physics

0.490 mol of argon gas is admitted to an evacuated 50.0 cm^3 container at 60.0 C. The gas then undergoes an isochoric heating to a temperature of 400 C. What is the pressure?
7. ### Physics Help

0.30 mol of argon gas is admitted to an evacuated 50cm^3 container at 20 C. The gas then undergoes an isobaric heating to a temperature of 340C. What is the set up for this?
8. ### physics

A monatomic ideal gas (Cv = 3/2 R) undergoes an isothermal expansion at 300 K, as the volume increased from .05 m^3 to .15 m^3 The final pressure is 130kPa The heat transfer to the gas, in kJ, is closest to?
9. ### Physics

Assume that 0.10 mol of argon gas is admitted to an evacuated 50 cm3 container at 20° C. The gas then undergoes isobaric heating to a temperature of 300° C. What is the final pressure of the gas?
10. ### Physics I

A container of volume 0.71 m3 contains 1 mol of argon gas at 27◦C. Assuming argon behaves as an ideal gas, find the total internal energy of this gas. The value of gas constant is 8.31451 J/mol · K

More Similar Questions